Xavier and Fred had $98 and $86 respectively. Each of them bought a hoodie and a jacket at the same price. The cost of the hoodie was 4 times as much as the jacket. In the end, Xavier had 3 times as much money as Fred. What was the difference between the cost of the jacket and the hoodie?

	Xavier	Fred	Difference
Before	$98	$86	$12
Change	- 5 p	- 5 p
After	3 u	1 u	2 u

Since Xavier and Fred 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 = 98 - 86
2 u = 12

1 u = 12 ÷ 2 = 6

Cost of 1 hoodie = 4 p
Cost of 1 jacket = 1 p

Total cost of 1 hoodie and 1 jacket
= 4 p + 1 p
= 5 p

5 p = 86 - 6
5 p = 80

1 p = 80 ÷ 5 = 16

Difference in the cost between the hoodie and the jacket
= 4 p - 1 p
= 3 p
= 3 x 16
= $48

Answer(s): $48