Question

Mary covered her kitchen floor with 10 tiles. The floor measures 6 feet long by 5 feet wide, The tiles are each 3 feet long and w feet wide. Write an equation to represent the situation.

Answer 1

To solve for the variable representing the width of the tiles in Mary's kitchen, the equation is set up by equating the area covered by the tiles to the total area of the kitchen floor, yielding the equation 10 * (3w) = 30. This simplifies to 30w = 30, from which we find that w = 1, meaning each tile is 1 foot wide.

Step-by-step explanation:

To set up an equation for the situation where Mary covered her kitchen floor with tiles, we need to consider the area covered by the tiles and the area of the floor.

The kitchen floor measures 6 feet by 5 feet, so its area is 30 square feet. Each of the tiles is 3 feet long and w feet wide, so one tile covers an area of 3w square feet.

Mary used 10 tiles to cover the floor completely, so the equation representing the total area covered by the tiles is:

10 * (3w) = 30

This simplifies to:

30w = 30

Dividing both sides by 30 gives us:

w = 1

Therefore, the width of each tile, w, is 1 foot.

Answer 2

Number of tiles used for covering the kitchen floor = 10
Area covered by the floor = 6 * 5 feet^2
= 30 square feet
Length of each tiles = 3 feet
Width of each tiles = w feet
Area covered by each tiles = 3w square feet
Then the equation can be written as
3w * 10 = 30
30w = 30
w= 30/30
= 1 feet
So the width of each tiles is 1 feet. I hope the procedure is clear enough for you to understand. The equation to determine the solution is
10 *3w = 30
There are 10 tiles used and the area covered by each tiles is 3w. Also the area of the floor is 30 square feet. All those information's have been used to get to the equation.