Ahmad and Sean had $131 and $87 respectively. Each of them bought a hoodie and a sweater at the same price. The cost of the hoodie was 3 times as much as the sweater. In the end, Ahmad had 5 times as much money as Sean. What was the difference between the cost of the sweater and the hoodie?

	Ahmad	Sean	Difference
Before	$131	$87	$44
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since Ahmad and Sean bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.

5 u - 1 u = 131 - 87
4 u = 44

1 u = 44 ÷ 4 = 11

Cost of 1 hoodie = 3 p
Cost of 1 sweater = 1 p

Total cost of 1 hoodie and 1 sweater
= 3 p + 1 p
= 4 p

4 p = 87 - 11
4 p = 76

1 p = 76 ÷ 4 = 19

Difference in the cost between the hoodie and the sweater
= 3 p - 1 p
= 2 p
= 2 x 19
= $38

Answer(s): $38