Andy and Daniel had $182 and $126 respectively. Each of them bought a sweater and a cardigan at the same price. The cost of the sweater was 3 times as much as the cardigan. In the end, Andy had 5 times as much money as Daniel. What was the difference between the cost of the cardigan and the sweater?

	Andy	Daniel	Difference
Before	$182	$126	$56
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

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

5 u - 1 u = 182 - 126
4 u = 56

1 u = 56 ÷ 4 = 14

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

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

4 p = 126 - 14
4 p = 112

1 p = 112 ÷ 4 = 28

Difference in the cost between the sweater and the cardigan
= 3 p - 1 p
= 2 p
= 2 x 28
= $56

Answer(s): $56