Tim and Zeph had $182 and $144 respectively. Each of them bought a cardigan and a skirt at the same price. The cost of the cardigan was 4 times as much as the skirt. In the end, Tim had 3 times as much money as Zeph. What was the difference between the cost of the skirt and the cardigan?

	Tim	Zeph	Difference
Before	$182	$144	$38
Change	- 5 p	- 5 p
After	3 u	1 u	2 u

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

3 u - 1 u = 182 - 144
2 u = 38

1 u = 38 ÷ 2 = 19

Cost of 1 cardigan = 4 p
Cost of 1 skirt = 1 p

Total cost of 1 cardigan and 1 skirt
= 4 p + 1 p
= 5 p

5 p = 144 - 19
5 p = 125

1 p = 125 ÷ 5 = 25

Difference in the cost between the cardigan and the skirt
= 4 p - 1 p
= 3 p
= 3 x 25
= $75

Answer(s): $75