Valen and Nick had $111 and $101 respectively. Each of them bought a hoodie and a jacket at the same price. The cost of the hoodie was 5 times as much as the jacket. In the end, Valen had 3 times as much money as Nick. What was the difference between the cost of the jacket and the hoodie?

	Valen	Nick	Difference
Before	$111	$101	$10
Change	- 6 p	- 6 p
After	3 u	1 u	2 u

Since Valen and Nick 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 = 111 - 101
2 u = 10

1 u = 10 ÷ 2 = 5

Cost of 1 hoodie = 5 p
Cost of 1 jacket = 1 p

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

6 p = 101 - 5
6 p = 96

1 p = 96 ÷ 6 = 16

Difference in the cost between the hoodie and the jacket
= 5 p - 1 p
= 4 p
= 4 x 16
= $64

Answer(s): $64