Samy spent 1/2 of his money on a pair of running shoes and 3/4 of the remainder on a gym shorts. After paying for both items,he had 450 left. What was the difference in price between the two items?

Answer 1

shoes: 1/2
shorts: 3/4 * 1/2 = 3/8
1/2 + 3/8 = 7/8 spent, so the $450 left was 1/8 of the money
1/2 - 3/8 = 1/8, so
the difference was $450