Howard and Seth had $183 and $165 respectively. Each of them bought a sweater and a jacket at the same price. The cost of the sweater was 5 times as much as the jacket. In the end, Howard had 3 times as much money as Seth. What was the difference between the cost of the jacket and the sweater?

	Howard	Seth	Difference
Before	$183	$165	$18
Change	- 6 p	- 6 p
After	3 u	1 u	2 u

Since Howard 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 = 183 - 165
2 u = 18

1 u = 18 ÷ 2 = 9

Cost of 1 sweater = 5 p
Cost of 1 jacket = 1 p

Total cost of 1 sweater and 1 jacket
= 5 p + 1 p
= 6 p

6 p = 165 - 9
6 p = 156

1 p = 156 ÷ 6 = 26

Difference in the cost between the sweater and the jacket
= 5 p - 1 p
= 4 p
= 4 x 26
= $104

Answer(s): $104