Liam and Japheth had $140 and $107 respectively. Each of them bought a shirt and a sweater at the same price. The cost of the shirt was 5 times as much as the sweater. In the end, Liam had 4 times as much money as Japheth. What was the difference between the cost of the sweater and the shirt?

	Liam	Japheth	Difference
Before	$140	$107	$33
Change	- 6 p	- 6 p
After	4 u	1 u	3 u

Since Liam 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.

4 u - 1 u = 140 - 107
3 u = 33

1 u = 33 ÷ 3 = 11

Cost of 1 shirt = 5 p
Cost of 1 sweater = 1 p

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

6 p = 107 - 11
6 p = 96

1 p = 96 ÷ 6 = 16

Difference in the cost between the shirt and the sweater
= 5 p - 1 p
= 4 p
= 4 x 16
= $64

Answer(s): $64