Cody had $219 and Bobby had $111 at first. Each of them bought an identical hoodie and an identical skirt from the same shop. The skirt cost 3 times as much as the hoodie. In the end, Cody had 5 times as much money as Bobby. What was the cost of the hoodie?

	Cody	Bobby	Difference
Before	$219	$111	$108
Change	- 1 hoodie - 1 skirt	- 1 hoodie - 1 skirt
After	5 u	1 u	4 u

Since Cody and Bobby bought the same items, the difference  in their amounts remains the same.

Difference in the amounts that they had
= 5 u - 1 u
= 4 u

4 u = 219 - 111
4 u = 108

1 u = 108 ÷ 4 = 27

Amount that Bobby had in the end
= 1 u
= $27

Cost of 1 hoodie and 1 skirt
= 111 - 1 u
= 111 - 27
= $84

The skirt cost 3 times as much as the hoodie.

Cost of 1 hoodie = 1 p
Cost of 1 skirt = 3 p

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

4 p = 84

1 p = 84 ÷ 4 = 21

Cost of the hoodie
= 1 p
= $21

Answer(s): $21