Luke and Jenson had $152 and $128 respectively. Each of them bought a hoodie and a blouse at the same price. The cost of the hoodie was 5 times as much as the blouse. In the end, Luke had 4 times as much money as Jenson. What was the difference between the cost of the blouse and the hoodie?

	Luke	Jenson	Difference
Before	$152	$128	$24
Change	- 6 p	- 6 p
After	4 u	1 u	3 u

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

4 u - 1 u = 152 - 128
3 u = 24

1 u = 24 ÷ 3 = 8

Cost of 1 hoodie = 5 p
Cost of 1 blouse = 1 p

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

6 p = 128 - 8
6 p = 120

1 p = 120 ÷ 6 = 20

Difference in the cost between the hoodie and the blouse
= 5 p - 1 p
= 4 p
= 4 x 20
= $80

Answer(s): $80