Archie and George had $146 and $131 respectively. Each of them bought a cardigan and a jacket at the same price. The cost of the cardigan was 5 times as much as the jacket. In the end, Archie had 4 times as much money as George. What was the difference between the cost of the jacket and the cardigan?

	Archie	George	Difference
Before	$146	$131	$15
Change	- 6 p	- 6 p
After	4 u	1 u	3 u

Since Archie and George 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 = 146 - 131
3 u = 15

1 u = 15 ÷ 3 = 5

Cost of 1 cardigan = 5 p
Cost of 1 jacket = 1 p

Total cost of 1 cardigan and 1 jacket
= 5 p + 1 p
= 6 p

6 p = 131 - 5
6 p = 126

1 p = 126 ÷ 6 = 21

Difference in the cost between the cardigan and the jacket
= 5 p - 1 p
= 4 p
= 4 x 21
= $84

Answer(s): $84