Harry and Rael had $138 and $114 respectively. Each of them bought a shirt and a sweater at the same price. The cost of the shirt was 3 times as much as the sweater. In the end, Harry had 5 times as much money as Rael. What was the difference between the cost of the sweater and the shirt?

	Harry	Rael	Difference
Before	$138	$114	$24
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since Harry and Rael 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 = 138 - 114
4 u = 24

1 u = 24 ÷ 4 = 6

Cost of 1 shirt = 3 p
Cost of 1 sweater = 1 p

Total cost of 1 shirt and 1 sweater
= 3 p + 1 p
= 4 p

4 p = 114 - 6
4 p = 108

1 p = 108 ÷ 4 = 27

Difference in the cost between the shirt and the sweater
= 3 p - 1 p
= 2 p
= 2 x 27
= $54

Answer(s): $54