Sam and Billy had $128 and $101 respectively. Each of them bought a blouse and a jacket at the same price. The cost of the blouse was 3 times as much as the jacket. In the end, Sam had 4 times as much money as Billy. What was the difference between the cost of the jacket and the blouse?

	Sam	Billy	Difference
Before	$128	$101	$27
Change	- 4 p	- 4 p
After	4 u	1 u	3 u

Since Sam and Billy 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 = 128 - 101
3 u = 27

1 u = 27 ÷ 3 = 9

Cost of 1 blouse = 3 p
Cost of 1 jacket = 1 p

Total cost of 1 blouse and 1 jacket
= 3 p + 1 p
= 4 p

4 p = 101 - 9
4 p = 92

1 p = 92 ÷ 4 = 23

Difference in the cost between the blouse and the jacket
= 3 p - 1 p
= 2 p
= 2 x 23
= $46

Answer(s): $46