Question

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?

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