Howard and Fabian had $108 and $78 respectively. Each of them bought a cardigan and a jacket at the same price. The cost of the cardigan was 3 times as much as the jacket. In the end, Howard had 4 times as much money as Fabian. What was the difference between the cost of the jacket and the cardigan?

	Howard	Fabian	Difference
Before	$108	$78	$30
Change	- 4 p	- 4 p
After	4 u	1 u	3 u

Since Howard and Fabian 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 = 108 - 78
3 u = 30

1 u = 30 ÷ 3 = 10

Cost of 1 cardigan = 3 p
Cost of 1 jacket = 1 p

Total cost of 1 cardigan and 1 jacket
= 3 p + 1 p
= 4 p

4 p = 78 - 10
4 p = 68

1 p = 68 ÷ 4 = 17

Difference in the cost between the cardigan and the jacket
= 3 p - 1 p
= 2 p
= 2 x 17
= $34

Answer(s): $34