Unnamed: 0 int64 0 10k | input stringclasses 41
values | output_prefix stringlengths 27 4.09k ⌀ | output stringlengths 19 909 | next_output_prefix stringlengths 27 4.29k | next_output stringlengths 19 909 ⌀ | terminal int64 0 1 | completion int64 0 31 | trajectory int64 0 1.29k | step int64 0 24 | label int64 0 1 | reward int64 0 1 | is_chosen bool 1
class | rtg float64 0 1 | text stringlengths 137 4.83k | value_balanced_td float64 -4.91 3.69 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | 0 | 0 | 0 | 0 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | -1.5625 |
1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 0 | 0 | 1 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 0.808594 |
2 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | null | 1 | 0 | 0 | 2 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 1.648438 |
3 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | 0 | 1 | 1 | 0 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | -1.5625 |
4 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 1 | 1 | 1 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 0.808594 |
5 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | null | 1 | 1 | 1 | 2 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 1.648438 |
6 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | 0 | 2 | 2 | 0 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | -1.5625 |
7 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 2 | 2 | 1 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 0.808594 |
8 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | null | 1 | 2 | 2 | 2 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 1.648438 |
9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | 0 | 3 | 3 | 0 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | -1.5625 |
10 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] 2. Thus, it would take $108/(1/6) = 108\times6 = \boxed{648}$ tiles to cover the entire floor. [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 3 | 3 | 1 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 0.808594 |
11 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \times 6\text{ in.} &= 4/12\times 6/12\\ &=\frac{1}{3}\times\frac{1}{2}\\ &=\frac{1}{6}\text{ ft.}\times\text{ ft.},\\ 9\text{ ft.}\times 12\text{... | null | 1 | 3 | 3 | 2 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we must convert the size of the tiles to feet and the dimensions of the floor to inches, since area is measured in square units: \begin{align*} 4\text{ in.} \tim... | 1.648438 |
12 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0 | 4 | 4 | 0 | 0 | 0 | true | 0.59049 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | -0.984375 |
13 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | 0 | 4 | 4 | 1 | 0 | 0 | true | 0.6561 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0.789063 |
14 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | 0 | 4 | 4 | 2 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.351563 |
15 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | 0 | 4 | 4 | 3 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.976563 |
16 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 4 | 4 | 4 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.1875 |
17 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... | null | 1 | 4 | 4 | 5 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.6875 |
18 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0 | 5 | 5 | 0 | 0 | 0 | true | 0.59049 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | -0.980469 |
19 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | 0 | 5 | 5 | 1 | 0 | 0 | true | 0.6561 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0.792969 |
20 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | 0 | 5 | 5 | 2 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.398438 |
21 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | 0 | 5 | 5 | 3 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.960938 |
22 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 5 | 5 | 4 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.1875 |
23 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... | null | 1 | 5 | 5 | 5 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.6875 |
24 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0 | 6 | 6 | 0 | 0 | 0 | true | 0.59049 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | -0.980469 |
25 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | 0 | 6 | 6 | 1 | 0 | 0 | true | 0.6561 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0.792969 |
26 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | 0 | 6 | 6 | 2 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.398438 |
27 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | 0 | 6 | 6 | 3 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.960938 |
28 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 6 | 6 | 4 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.1875 |
29 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... | null | 1 | 6 | 6 | 5 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.6875 |
30 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0 | 7 | 7 | 0 | 0 | 0 | true | 0.59049 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] | -0.980469 |
31 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP] |
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | 0 | 7 | 7 | 1 | 0 | 0 | true | 0.6561 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] | 0.792969 |
32 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP] |
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | 0 | 7 | 7 | 2 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.398438 |
33 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP] |
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\frac{15,\!552}{24}=648$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | 0 | 7 | 7 | 3 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 1.960938 |
34 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] 5. Therefore, we need $\boxed{648}$ tiles. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 7 | 7 | 4 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.1875 |
35 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[STEP] 3. The area of a tile is $4 \times 6=24 \ \text{in}^2$. [/STEP]
[STEP] 4. Dividing the area of the floor by the area of a tile, we get $\... | null | 1 | 7 | 7 | 5 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12= 108 \ \text{ft}^2$. [/STEP]
[STEP] 2. Converting to square inches, we get $108 \times 144= 15,\!552 \ \text{in}^2$. [/STEP]
[ST... | 3.6875 |
36 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | 0 | 8 | 8 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | -0.652344 |
37 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | 0 | 8 | 8 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | -1.796875 |
38 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | 0 | 8 | 8 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | -2.1875 |
39 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | 0 | 8 | 8 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.071777 |
40 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... | null | 1 | 8 | 8 | 4 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.921875 |
41 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | 0 | 9 | 9 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | -0.652344 |
42 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | 0 | 9 | 9 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | -1.796875 |
43 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | 0 | 9 | 9 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | -2.1875 |
44 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | 0 | 9 | 9 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.071777 |
45 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... | null | 1 | 9 | 9 | 4 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.921875 |
46 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | 0 | 10 | 10 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | -0.652344 |
47 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | 0 | 10 | 10 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | -1.796875 |
48 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | 0 | 10 | 10 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | -2.1875 |
49 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | 0 | 10 | 10 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.071777 |
50 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... | null | 1 | 10 | 10 | 4 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.921875 |
51 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | 0 | 11 | 11 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] | -0.652344 |
52 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP] |
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | 0 | 11 | 11 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] | -1.796875 |
53 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP] |
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | 0 | 11 | 11 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | -2.1875 |
54 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP] |
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square feet of area, so $\frac{72}{12}=\boxed{6}$ tiles are needed. [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | 0 | 11 | 11 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.071777 |
55 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... |
[STEP] # Answer
$\boxed{6}$ [/STEP] | [STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, which is $72/2$ ft$^2$, so each tile will cover $1/6(72/2)=12$ square feet. [/STEP]
[STEP] 4. In a $9\times12$ ft floor, there is $72$ square fee... | null | 1 | 11 | 11 | 4 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The tiles are $4/12=1/3$ by $6/12=1/2$. [/STEP]
[STEP] 2. Each tile covers $(1/3)(1/2)=1/6$ of a square foot. [/STEP]
[STEP] 3. The whole floor is 9 ft by 12 ft, whic... | 0.921875 |
56 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | 0 | 12 | 12 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | -0.648438 |
57 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | 0 | 12 | 12 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | -1.34375 |
58 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | 0 | 12 | 12 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 1.507813 |
59 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP]
[STEP] # Answer
$\boxed{216}$ [/STEP] | null | 1 | 12 | 12 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 2.703125 |
60 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | 0 | 13 | 13 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | -0.648438 |
61 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | 0 | 13 | 13 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | -1.34375 |
62 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | 0 | 13 | 13 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 1.507813 |
63 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP]
[STEP] # Answer
$\boxed{216}$ [/STEP] | null | 1 | 13 | 13 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 2.703125 |
64 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | 0 | 14 | 14 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | -0.648438 |
65 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | 0 | 14 | 14 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | -1.34375 |
66 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | 0 | 14 | 14 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 1.507813 |
67 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP]
[STEP] # Answer
$\boxed{216}$ [/STEP] | null | 1 | 14 | 14 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 2.703125 |
68 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | 0 | 15 | 15 | 0 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] | -0.648438 |
69 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP] |
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | 0 | 15 | 15 | 1 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] | -1.34375 |
70 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP] |
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | 0 | 15 | 15 | 2 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 1.507813 |
71 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP] |
[STEP] # Answer
$\boxed{216}$ [/STEP] | [STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus the number of tiles required is $\frac{108}{1/2} = \boxed{216}$. [/STEP]
[STEP] # Answer
$\boxed{216}$ [/STEP] | null | 1 | 15 | 15 | 3 | 0 | 0 | true | 0 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9 \times 12 = 108$ square feet. [/STEP]
[STEP] 2. The area of each tile is $(4/12) \times (6/12) = 1/2$ square feet. [/STEP]
[STEP] 3. Thus ... | 2.703125 |
72 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | 0 | 16 | 16 | 0 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | -0.972656 |
73 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | 0 | 16 | 16 | 1 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | -1.335938 |
74 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 16 | 16 | 2 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.03125 |
75 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP]
[STEP] # Answer
$\boxed{... | null | 1 | 16 | 16 | 3 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.8125 |
76 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | 0 | 17 | 17 | 0 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | -0.972656 |
77 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | 0 | 17 | 17 | 1 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | -1.335938 |
78 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 17 | 17 | 2 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.03125 |
79 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP]
[STEP] # Answer
$\boxed{... | null | 1 | 17 | 17 | 3 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.8125 |
80 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | 0 | 18 | 18 | 0 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | -0.972656 |
81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | 0 | 18 | 18 | 1 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | -1.335938 |
82 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 18 | 18 | 2 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.03125 |
83 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP]
[STEP] # Answer
$\boxed{... | null | 1 | 18 | 18 | 3 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.8125 |
84 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | 0 | 19 | 19 | 0 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] | -0.972656 |
85 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP] |
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | 0 | 19 | 19 | 1 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | -1.335938 |
86 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP] |
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 19 | 19 | 2 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.03125 |
87 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP] |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ft}^2$. [/STEP]
[STEP] 3. The number of tiles needed to cover the floor is $\frac{108}{\frac{1}{6}}=648$. [/STEP]
[STEP] # Answer
$\boxed{... | null | 1 | 19 | 19 | 3 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. The area of the floor is $9\cdot 12 = 108\text{ ft}^2$. [/STEP]
[STEP] 2. The area of each tile is $\left(\frac{1}{3}\right)\left(\frac{1}{2}\right)=\frac{1}{6}\text{ ... | 2.8125 |
88 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] |
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] | 0 | 20 | 20 | 0 | 0 | 0 | true | 0.59049 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] | -0.65625 |
89 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] |
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] |
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/STEP] | 0 | 20 | 20 | 1 | 0 | 0 | true | 0.6561 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | -0.917969 |
90 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] |
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 4. So we can directly find the area of the tile to be $1/3 \cdot 1/2$. [/STEP] | 0 | 20 | 20 | 2 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 1.585938 |
91 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 4. So we can directly find the area of the tile to be $1/3 \cdot 1/2$. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 5. Then, we divide the area of the floor by the area of a tile to find the number of tiles needed: $108/(1/6)=108\cdot 6=\boxed{648}$. [/STEP] | 0 | 20 | 20 | 3 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 0.423828 |
92 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 5. Then, we divide the area of the floor by the area of a tile to find the number of tiles needed: $108/(1/6)=108\cdot 6=\boxed{648}$. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 20 | 20 | 4 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 1.5625 |
93 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... | null | 1 | 20 | 20 | 5 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 2.546875 |
94 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| null | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] |
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] | 0 | 21 | 21 | 0 | 0 | 0 | true | 0.59049 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] | -0.65625 |
95 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP] |
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] |
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/STEP] | 0 | 21 | 21 | 1 | 0 | 0 | true | 0.6561 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | -0.917969 |
96 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP] |
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 4. So we can directly find the area of the tile to be $1/3 \cdot 1/2$. [/STEP] | 0 | 21 | 21 | 2 | 0 | 0 | true | 0.729 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 1.585938 |
97 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 4. So we can directly find the area of the tile to be $1/3 \cdot 1/2$. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 5. Then, we divide the area of the floor by the area of a tile to find the number of tiles needed: $108/(1/6)=108\cdot 6=\boxed{648}$. [/STEP] | 0 | 21 | 21 | 3 | 0 | 0 | true | 0.81 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 0.423828 |
98 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] 5. Then, we divide the area of the floor by the area of a tile to find the number of tiles needed: $108/(1/6)=108\cdot 6=\boxed{648}$. [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | 0 | 21 | 21 | 4 | 0 | 0 | true | 0.9 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 1.5625 |
99 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
| [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... |
[STEP] # Answer
$\boxed{648}$ [/STEP] | [STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=1/6$ square feet. [/STEP]
[STEP] 3. Since there are 12 inches in a foot, the dimensions of the tile in feet are $4/12=1/3$ and $6/12=1/2$. [/... | null | 1 | 21 | 21 | 5 | 1 | 1 | true | 1 | # Question
A floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. How many tiles are needed to cover the floor?
# Solution
[STEP] 1. First, we compute the area of the floor: $9\cdot 12=108$ square feet. [/STEP]
[STEP] 2. Then, we compute the area of one tile, which is $4/12 \cdot 6/12=1/3 \cdot 1/2=... | 2.546875 |
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