George and Peter had $163 and $103 respectively. Each of them bought a cardigan and a hoodie at the same price. The cost of the cardigan was 3 times as much as the hoodie. In the end, George had 5 times as much money as Peter. What was the difference between the cost of the hoodie and the cardigan?

	George	Peter	Difference
Before	$163	$103	$60
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since George and Peter 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 = 163 - 103
4 u = 60

1 u = 60 ÷ 4 = 15

Cost of 1 cardigan = 3 p
Cost of 1 hoodie = 1 p

Total cost of 1 cardigan and 1 hoodie
= 3 p + 1 p
= 4 p

4 p = 103 - 15
4 p = 88

1 p = 88 ÷ 4 = 22

Difference in the cost between the cardigan and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 22
= $44

Answer(s): $44