Owen and Ken had $104 and $62 respectively. Each of them bought a cardigan and a sweater at the same price. The cost of the cardigan was 3 times as much as the sweater. In the end, Owen had 4 times as much money as Ken. What was the difference between the cost of the sweater and the cardigan?

	Owen	Ken	Difference
Before	$104	$62	$42
Change	- 4 p	- 4 p
After	4 u	1 u	3 u

Since Owen and Ken bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.

4 u - 1 u = 104 - 62
3 u = 42

1 u = 42 ÷ 3 = 14

Cost of 1 cardigan = 3 p
Cost of 1 sweater = 1 p

Total cost of 1 cardigan and 1 sweater
= 3 p + 1 p
= 4 p

4 p = 62 - 14
4 p = 48

1 p = 48 ÷ 4 = 12

Difference in the cost between the cardigan and the sweater
= 3 p - 1 p
= 2 p
= 2 x 12
= $24

Answer(s): $24