Tommy had $334 and Lee had $122 at first. Each of them bought an identical skirt and an identical sweater from the same shop. The sweater cost 2 times as much as the skirt. In the end, Tommy had 5 times as much money as Lee. What was the cost of the skirt?

	Tommy	Lee	Difference
Before	$334	$122	$212
Change	- 1 skirt - 1 sweater	- 1 skirt - 1 sweater
After	5 u	1 u	4 u

Since Tommy and Lee 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 = 334 - 122
4 u = 212

1 u = 212 ÷ 4 = 53

Amount that Lee had in the end
= 1 u
= $53

Cost of 1 skirt and 1 sweater
= 122 - 1 u
= 122 - 53
= $69

The sweater cost 2 times as much as the skirt.

Cost of 1 skirt = 1 p
Cost of 1 sweater = 2 p

Total cost of 1 skirt and 1 sweater
= 1 p + 2 p
= 3 p

3 p = 69

1 p = 69 ÷ 3 = 23

Cost of the skirt
= 1 p
= $23

Answer(s): $23