mary wants to put square tiles on the kitchen floor. The tile she has selected is 12 inches on each side and comes in boxs of20 tiles for $54 per box. Her kitchen is 15 feet 8 inches log and 5 feet 9 inches wide. How many boxes of tile will she need and what will be theprice of the tile?

assuming any partial tiles are thrown away, the floor is

16 x 6 tiles
So, 96 tiles are needed
So, 5 boxes of 20 must be purchased, for $270

Joan wants to cover her kitchen floor with tiles. The floor is in the shape of a rectangle with width 9 feet and length 12.5 feet, and each tile is in the shape of a square with side length 1 foot. The tiles are sold only by the box, and each box holds 10 tiles. The tiles will be placed such that there will be no overlapping of and no space between the tiles, and the tiles can be cut if necessary. If the entire kitchen floor is to be covered with tiles, what is the minimum number of boxes of tiles that Joan will need to buy?

To determine the number of boxes of tiles Mary will need, we first need to calculate the total area of her kitchen floor.

The length of the kitchen is 15 feet 8 inches, which is equal to 15 + (8/12) = 15.67 feet.
The width of the kitchen is 5 feet 9 inches, which is equal to 5 + (9/12) = 5.75 feet.

To find the area, we multiply the length by the width:
Area = length × width
Area = 15.67 feet × 5.75 feet
Area = 90.1025 square feet

Since each tile is 12 inches on each side, the area of each tile is 1 square foot (12 inches × 12 inches = 144 square inches ÷ 12 inches = 12 square feet).

To determine the number of tiles needed, we divide the total area of the kitchen by the area of each tile:
Number of tiles = Area ÷ Area of each tile
Number of tiles = 90.1025 square feet ÷ 12 square feet
Number of tiles = 7.5085 tiles

Since tiles cannot be divided, Mary will need to round up to the nearest whole number. Therefore, she will need 8 tiles.

Each box contains 20 tiles, but Mary only needs 8 tiles. Therefore, she will need to purchase at least 1 box.

The price of each box is $54. Therefore, the total cost of the tiles will be $54.

In conclusion, Mary will need 1 box of tiles, costing $54.

To find the number of boxes of tiles Mary will need, we first need to determine the total number of tiles required to cover her kitchen floor.

Given that each tile is a square with 12 inches on each side, we can calculate the area of a single tile. The area of a square can be found by multiplying the length of one side by itself. In this case, the area of a tile is 12 inches multiplied by 12 inches, which equals 144 square inches.

Next, we need to convert the dimensions of Mary's kitchen into the same units as the tile size.
Her kitchen is 15 feet 8 inches long, which we can convert into inches by multiplying the number of feet by 12 and then adding the remaining inches.
15 feet is equal to 15 * 12 = 180 inches, and when we add 8 inches to that, the total length becomes 180 + 8 = 188 inches.

Similarly, her kitchen is 5 feet 9 inches wide, which, when converted to inches, becomes 5 * 12 + 9 = 69 inches.

To find the total number of tiles needed, we divide the total floor area (length x width) by the area of a single tile.
The total floor area is 188 inches multiplied by 69 inches, which equals 12,972 square inches.

Dividing the total floor area by the area of a single tile, 12,972 square inches / 144 square inches, we find that Mary needs approximately 90.25 tiles.

Since she can only purchase whole boxes of tiles, we need to round up to the nearest whole number of boxes. Thus, Mary will need 91 tiles.

Now, let's calculate the cost. Each box contains 20 tiles, and each box costs $54. Thus, the price per tile is $54 / 20 = $2.70.

To find the total price of the tiles, we multiply the number of boxes needed (91 tiles) by the price per tile ($2.70).
91 tiles * $2.70 = $245.70.

Therefore, Mary will need 4 boxes of tiles and the total price will be $245.70.