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

Question

Citrus2011 [14]

3 years ago

6

Todd has 21 white tiles dnd 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. How many black tiles did Todd use?

Mathematics

1 answer:

tekilochka [14] · Answer 1 · 2022-05-15T02:45:32+03:00

Answer:the number of black tiles that Todd used is 27

Step-by-step explanation:

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

Todd has 21 white tiles and some black tiles to make a mosaic. Each tile has an area of 3 square. It means that the total area of the white tiles is 21 × 3 = 63 cm^2

The total area of the white tiles is x × 3 = 3x cm^2

The mosaic has a total area of 144 Square centimeters. It means that

3x + 63 = 144

3x = 144 - 63 = 81

x = 81/3 = 27