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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?

Zoey is covering a 14inchsquare board with 1inchsquare tiles She uses gray tiles to make three 3in by 3in squares on the board She covers the rest of the board class=

Respuesta :

calculista

Answer:

[tex]142\ tiles[/tex]

Step-by-step explanation:

step 1

Find the total tiles in the square board

The total area of the square board is equal to

[tex]A=14^{2}=196\ in^{2}[/tex]

Remember that each tile is 1-inch-square

so

by proportion

The total tiles is equal to

[tex]196\ tiles[/tex]

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

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

Remember that each tile is 1-inch-square

so

by proportion

The total gray tiles is equal to

[tex]27\ tiles[/tex]

step 3

Find the number of white tiles in the square board

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

[tex]196-27=169\ tiles[/tex]

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

[tex]169-27=142\ tiles[/tex]

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