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lozanna [386]
3 years ago
10

Todd uses 21 white tiles & some black tiles to make a mosaic.The mosaic has a total area of 144 square centimeters.Each tile

has an area of 3 square centimeters.How many black tiles did Todd use?Explain.
Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer: Todd used 27 black tiles.

Step-by-step explanation:

Let x represent the number of black tiles that Todd used.

Todd uses 21 white tiles & some black tiles to make a mosaic. This means that the total number of white and black tiles that Todd used is 21 + x

Each tile has an area of 3 square centimeters. This means that the total area covered by the white tiles is

21 × 3 = 63 square centimeters

Also, the total area covered by the black tiles is

3 × x = 3x square centimeters

The mosaic has a total area of 144 square centimeters. This means that

3x + 63 = 144

3x = 144 - 63

3x = 81

x = 81/3 = 27

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