Liam and Ian had $105 and $61 respectively. Each of them bought a shirt and a hoodie at the same price. The cost of the shirt was 4 times as much as the hoodie. In the end, Liam had 5 times as much money as Ian. What was the difference between the cost of the hoodie and the shirt?

	Liam	Ian	Difference
Before	$105	$61	$44
Change	- 5 p	- 5 p
After	5 u	1 u	4 u

Since Liam and Ian 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 - 61
4 u = 44

1 u = 44 ÷ 4 = 11

Cost of 1 shirt = 4 p
Cost of 1 hoodie = 1 p

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

5 p = 61 - 11
5 p = 50

1 p = 50 ÷ 5 = 10

Difference in the cost between the shirt and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 10
= $30

Answer(s): $30