Rael and Julian had $183 and $145 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, Rael had 3 times as much money as Julian. What was the difference between the cost of the blouse and the hoodie?

	Rael	Julian	Difference
Before	$183	$145	$38
Change	- 6 p	- 6 p
After	3 u	1 u	2 u

Since Rael and Julian 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 = 183 - 145
2 u = 38

1 u = 38 ÷ 2 = 19

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 = 145 - 19
6 p = 126

1 p = 126 ÷ 6 = 21

Difference in the cost between the hoodie and the blouse
= 5 p - 1 p
= 4 p
= 4 x 21
= $84

Answer(s): $84