Luke and Bryan had $166 and $145 respectively. Each of them bought a cardigan and a blouse at the same price. The cost of the cardigan was 5 times as much as the blouse. In the end, Luke had 4 times as much money as Bryan. What was the difference between the cost of the blouse and the cardigan?

	Luke	Bryan	Difference
Before	$166	$145	$21
Change	- 6 p	- 6 p
After	4 u	1 u	3 u

Since Luke and Bryan 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 = 166 - 145
3 u = 21

1 u = 21 ÷ 3 = 7

Cost of 1 cardigan = 5 p
Cost of 1 blouse = 1 p

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

6 p = 145 - 7
6 p = 138

1 p = 138 ÷ 6 = 23

Difference in the cost between the cardigan and the blouse
= 5 p - 1 p
= 4 p
= 4 x 23
= $92

Answer(s): $92