Xavier and Daniel had $144 and $112 respectively. Each of them bought a skirt and a jacket at the same price. The cost of the skirt was 5 times as much as the jacket. In the end, Xavier had 3 times as much money as Daniel. What was the difference between the cost of the jacket and the skirt?

	Xavier	Daniel	Difference
Before	$144	$112	$32
Change	- 6 p	- 6 p
After	3 u	1 u	2 u

Since Xavier 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.

3 u - 1 u = 144 - 112
2 u = 32

1 u = 32 ÷ 2 = 16

Cost of 1 skirt = 5 p
Cost of 1 jacket = 1 p

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

6 p = 112 - 16
6 p = 96

1 p = 96 ÷ 6 = 16

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

Answer(s): $64