Brandon and Howard had $122 and $98 respectively. Each of them bought a hoodie and a skirt at the same price. The cost of the hoodie was 3 times as much as the skirt. In the end, Brandon had 5 times as much money as Howard. What was the difference between the cost of the skirt and the hoodie?

	Brandon	Howard	Difference
Before	$122	$98	$24
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since Brandon and Howard 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 = 122 - 98
4 u = 24

1 u = 24 ÷ 4 = 6

Cost of 1 hoodie = 3 p
Cost of 1 skirt = 1 p

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

4 p = 98 - 6
4 p = 92

1 p = 92 ÷ 4 = 23

Difference in the cost between the hoodie and the skirt
= 3 p - 1 p
= 2 p
= 2 x 23
= $46

Answer(s): $46