Henry and Luis had $105 and $77 respectively. Each of them bought a cardigan and a blouse at the same price. The cost of the cardigan was 4 times as much as the blouse. In the end, Henry had 5 times as much money as Luis. What was the difference between the cost of the blouse and the cardigan?

	Henry	Luis	Difference
Before	$105	$77	$28
Change	- 5 p	- 5 p
After	5 u	1 u	4 u

Since Henry and Luis bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.

5 u - 1 u = 105 - 77
4 u = 28

1 u = 28 ÷ 4 = 7

Cost of 1 cardigan = 4 p
Cost of 1 blouse = 1 p

Total cost of 1 cardigan and 1 blouse
= 4 p + 1 p
= 5 p

5 p = 77 - 7
5 p = 70

1 p = 70 ÷ 5 = 14

Difference in the cost between the cardigan and the blouse
= 4 p - 1 p
= 3 p
= 3 x 14
= $42

Answer(s): $42