Elijah and Howard had $106 and $76 respectively. Each of them bought a jacket and a sweater at the same price. The cost of the jacket was 5 times as much as the sweater. In the end, Elijah had 4 times as much money as Howard. What was the difference between the cost of the sweater and the jacket?

	Elijah	Howard	Difference
Before	$106	$76	$30
Change	- 6 p	- 6 p
After	4 u	1 u	3 u

Since Elijah and Howard 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 = 106 - 76
3 u = 30

1 u = 30 ÷ 3 = 10

Cost of 1 jacket = 5 p
Cost of 1 sweater = 1 p

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

6 p = 76 - 10
6 p = 66

1 p = 66 ÷ 6 = 11

Difference in the cost between the jacket and the sweater
= 5 p - 1 p
= 4 p
= 4 x 11
= $44

Answer(s): $44