Asher had $330 and Ivan had $190 at first. Each of them bought an identical sweater and an identical windbreaker from the same shop. The windbreaker cost 4 times as much as the sweater. In the end, Asher had 3 times as much money as Ivan. What was the cost of the sweater?

	Asher	Ivan	Difference
Before	$330	$190	$140
Change	- 1 sweater - 1 windbreaker	- 1 sweater - 1 windbreaker
After	3 u	1 u	2 u

Since Asher and Ivan bought the same items, the difference  in their amounts remains the same.

Difference in the amounts that they had
= 3 u - 1 u
= 2 u

2 u = 330 - 190
2 u = 140

1 u = 140 ÷ 2 = 70

Amount that Ivan had in the end
= 1 u
= $70

Cost of 1 sweater and 1 windbreaker
= 190 - 1 u
= 190 - 70
= $120

The windbreaker cost 4 times as much as the sweater.

Cost of 1 sweater = 1 p
Cost of 1 windbreaker = 4 p

Total cost of 1 sweater and 1 windbreaker
= 1 p + 4 p
= 5 p

5 p = 120

1 p = 120 ÷ 5 = 24

Cost of the sweater
= 1 p
= $24

Answer(s): $24