Ryan and Lee had $130 and $74 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, Ryan had 5 times as much money as Lee. What was the difference between the cost of the sweater and the hoodie?

	Ryan	Lee	Difference
Before	$130	$74	$56
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since Ryan and Lee 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 = 130 - 74
4 u = 56

1 u = 56 ÷ 4 = 14

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 = 74 - 14
4 p = 60

1 p = 60 ÷ 4 = 15

Difference in the cost between the hoodie and the sweater
= 3 p - 1 p
= 2 p
= 2 x 15
= $30

Answer(s): $30