Wesley and Daniel had $180 and $132 respectively. Each of them bought a jacket and a sweater at the same price. The cost of the jacket was 4 times as much as the sweater. In the end, Wesley had 5 times as much money as Daniel. What was the difference between the cost of the sweater and the jacket?

	Wesley	Daniel	Difference
Before	$180	$132	$48
Change	- 5 p	- 5 p
After	5 u	1 u	4 u

Since Wesley and Daniel 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 = 180 - 132
4 u = 48

1 u = 48 ÷ 4 = 12

Cost of 1 jacket = 4 p
Cost of 1 sweater = 1 p

Total cost of 1 jacket and 1 sweater
= 4 p + 1 p
= 5 p

5 p = 132 - 12
5 p = 120

1 p = 120 ÷ 5 = 24

Difference in the cost between the jacket and the sweater
= 4 p - 1 p
= 3 p
= 3 x 24
= $72

Answer(s): $72