Valen and Ryan had $158 and $126 respectively. Each of them bought a blouse and a hoodie at the same price. The cost of the blouse was 4 times as much as the hoodie. In the end, Valen had 3 times as much money as Ryan. What was the difference between the cost of the hoodie and the blouse?

	Valen	Ryan	Difference
Before	$158	$126	$32
Change	- 5 p	- 5 p
After	3 u	1 u	2 u

Since Valen and Ryan 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 = 158 - 126
2 u = 32

1 u = 32 ÷ 2 = 16

Cost of 1 blouse = 4 p
Cost of 1 hoodie = 1 p

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

5 p = 126 - 16
5 p = 110

1 p = 110 ÷ 5 = 22

Difference in the cost between the blouse and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 22
= $66

Answer(s): $66