Lee and Sean had $145 and $105 respectively. Each of them bought a skirt and a hoodie at the same price. The cost of the skirt was 4 times as much as the hoodie. In the end, Lee had 3 times as much money as Sean. What was the difference between the cost of the hoodie and the skirt?

	Lee	Sean	Difference
Before	$145	$105	$40
Change	- 5 p	- 5 p
After	3 u	1 u	2 u

Since Lee and Sean 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 = 145 - 105
2 u = 40

1 u = 40 ÷ 2 = 20

Cost of 1 skirt = 4 p
Cost of 1 hoodie = 1 p

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

5 p = 105 - 20
5 p = 85

1 p = 85 ÷ 5 = 17

Difference in the cost between the skirt and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 17
= $51

Answer(s): $51