Julian and Seth had $161 and $137 respectively. Each of them bought a hoodie and a skirt at the same price. The cost of the hoodie was 4 times as much as the skirt. In the end, Julian had 3 times as much money as Seth. What was the difference between the cost of the skirt and the hoodie?

	Julian	Seth	Difference
Before	$161	$137	$24
Change	- 5 p	- 5 p
After	3 u	1 u	2 u

Since Julian and Seth 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 = 161 - 137
2 u = 24

1 u = 24 ÷ 2 = 12

Cost of 1 hoodie = 4 p
Cost of 1 skirt = 1 p

Total cost of 1 hoodie and 1 skirt
= 4 p + 1 p
= 5 p

5 p = 137 - 12
5 p = 125

1 p = 125 ÷ 5 = 25

Difference in the cost between the hoodie and the skirt
= 4 p - 1 p
= 3 p
= 3 x 25
= $75

Answer(s): $75