Cole and Ivan had $168 and $144 respectively. Each of them bought a jacket and a cardigan at the same price. The cost of the jacket was 5 times as much as the cardigan. In the end, Cole had 3 times as much money as Ivan. What was the difference between the cost of the cardigan and the jacket?

	Cole	Ivan	Difference
Before	$168	$144	$24
Change	- 6 p	- 6 p
After	3 u	1 u	2 u

Since Cole and Ivan 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 = 168 - 144
2 u = 24

1 u = 24 ÷ 2 = 12

Cost of 1 jacket = 5 p
Cost of 1 cardigan = 1 p

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

6 p = 144 - 12
6 p = 132

1 p = 132 ÷ 6 = 22

Difference in the cost between the jacket and the cardigan
= 5 p - 1 p
= 4 p
= 4 x 22
= $88

Answer(s): $88