Sean and Archie had $135 and $75 respectively. Each of them bought a jacket and a hoodie at the same price. The cost of the jacket was 3 times as much as the hoodie. In the end, Sean had 5 times as much money as Archie. What was the difference between the cost of the hoodie and the jacket?

	Sean	Archie	Difference
Before	$135	$75	$60
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since Sean and Archie 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 = 135 - 75
4 u = 60

1 u = 60 ÷ 4 = 15

Cost of 1 jacket = 3 p
Cost of 1 hoodie = 1 p

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

4 p = 75 - 15
4 p = 60

1 p = 60 ÷ 4 = 15

Difference in the cost between the jacket and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 15
= $30

Answer(s): $30