Justin and Japheth had $122 and $66 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, Justin had 5 times as much money as Japheth. What was the difference between the cost of the sweater and the shirt?

	Justin	Japheth	Difference
Before	$122	$66	$56
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since Justin and Japheth 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 = 122 - 66
4 u = 56

1 u = 56 ÷ 4 = 14

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 = 66 - 14
4 p = 52

1 p = 52 ÷ 4 = 13

Difference in the cost between the shirt and the sweater
= 3 p - 1 p
= 2 p
= 2 x 13
= $26

Answer(s): $26