Question

Zoey is covering a 14-inch-square board with 1-inch-square tiles. She uses gray tiles to make three 3-in. by 3-in. squares on the board. She covers the rest of the board with white tiles.
How many more white tiles than gray tiles will Zoey use?

Answer 1

Answer:

$142\ tiles$

Step-by-step explanation:

step 1

Find the total tiles in the square board

The total area of the square board is equal to

$A=14^{2}=196\ in^{2}$

Remember that each tile is 1-inch-square

so

by proportion

The total tiles is equal to

$196\ tiles$

step 2

Find the number of gray tiles in the square board

The total area of gray tiles in the square board is equal to

$A=3[(3)(3)]=27\ in^{2}$

Remember that each tile is 1-inch-square

so

by proportion

The total gray tiles is equal to

$27\ tiles$

step 3

Find the number of white tiles in the square board

Subtract the number of gray tiles from the total number of tiles

$196-27=169\ tiles$

step 4

Find out how more white tiles than gray tiles will Zoey use

Subtract the number of gray tiles from the number of white tiles

$169-27=142\ tiles$