Liam and Michael had $99 and $73 respectively. Each of them bought a sweater and a hoodie at the same price. The cost of the sweater was 4 times as much as the hoodie. In the end, Liam had 3 times as much money as Michael. What was the difference between the cost of the hoodie and the sweater?

	Liam	Michael	Difference
Before	$99	$73	$26
Change	- 5 p	- 5 p
After	3 u	1 u	2 u

Since Liam and Michael 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 = 99 - 73
2 u = 26

1 u = 26 ÷ 2 = 13

Cost of 1 sweater = 4 p
Cost of 1 hoodie = 1 p

Total cost of 1 sweater and 1 hoodie
= 4 p + 1 p
= 5 p

5 p = 73 - 13
5 p = 60

1 p = 60 ÷ 5 = 12

Difference in the cost between the sweater and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 12
= $36

Answer(s): $36