Andrew is buying three different colors of tiles for his kitchen floor. he is buying 50 more purple tiles than black tiles, and five times as many yellow tiles as black tiles. if Andrew buys 400 tiles altogether, how many tiles of each color does he buy?

Question

Brindle

Mathematics

17 November, 11:34

Andrew is buying three different colors of tiles for his kitchen floor. he is buying 50 more purple tiles than black tiles, and five times as many yellow tiles as black tiles. if Andrew buys 400 tiles altogether, how many tiles of each color does he buy?

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Answers (1)

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Anya David · Answer 1

- Key -

Black tiles = x

Purple tiles = x+50

Yellow tiles = 5x

-

Total = x + x+50 + 5x = 400

⇒ 7x + 50 = 400

⇒ 7x = 400-50 = 350

⇒ x = 350/7

⇒ x = 50

Black tiles = 50

Purple tiles = 50+50 = 100

Yellow tiles = 5 x 50 = 250