Luis and Ivan had $152 and $92 respectively. Each of them bought a shirt and a cardigan at the same price. The cost of the shirt was 5 times as much as the cardigan. In the end, Luis had 4 times as much money as Ivan. What was the difference between the cost of the cardigan and the shirt?

	Luis	Ivan	Difference
Before	$152	$92	$60
Change	- 6 p	- 6 p
After	4 u	1 u	3 u

Since Luis 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.

4 u - 1 u = 152 - 92
3 u = 60

1 u = 60 ÷ 3 = 20

Cost of 1 shirt = 5 p
Cost of 1 cardigan = 1 p

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

6 p = 92 - 20
6 p = 72

1 p = 72 ÷ 6 = 12

Difference in the cost between the shirt and the cardigan
= 5 p - 1 p
= 4 p
= 4 x 12
= $48

Answer(s): $48