Eric and Fred had $165 and $147 respectively. Each of them bought a sweater and a hoodie at the same price. The cost of the sweater was 5 times as much as the hoodie. In the end, Eric had 3 times as much money as Fred. What was the difference between the cost of the hoodie and the sweater?

	Eric	Fred	Difference
Before	$165	$147	$18
Change	- 6 p	- 6 p
After	3 u	1 u	2 u

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

3 u - 1 u = 165 - 147
2 u = 18

1 u = 18 ÷ 2 = 9

Cost of 1 sweater = 5 p
Cost of 1 hoodie = 1 p

Total cost of 1 sweater and 1 hoodie
= 5 p + 1 p
= 6 p

6 p = 147 - 9
6 p = 138

1 p = 138 ÷ 6 = 23

Difference in the cost between the sweater and the hoodie
= 5 p - 1 p
= 4 p
= 4 x 23
= $92

Answer(s): $92