Michael and Sam had $150 and $98 respectively. Each of them bought a blouse and a sweater at the same price. The cost of the blouse was 4 times as much as the sweater. In the end, Michael had 5 times as much money as Sam. What was the difference between the cost of the sweater and the blouse?

	Michael	Sam	Difference
Before	$150	$98	$52
Change	- 5 p	- 5 p
After	5 u	1 u	4 u

Since Michael and Sam 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 = 150 - 98
4 u = 52

1 u = 52 ÷ 4 = 13

Cost of 1 blouse = 4 p
Cost of 1 sweater = 1 p

Total cost of 1 blouse and 1 sweater
= 4 p + 1 p
= 5 p

5 p = 98 - 13
5 p = 85

1 p = 85 ÷ 5 = 17

Difference in the cost between the blouse and the sweater
= 4 p - 1 p
= 3 p
= 3 x 17
= $51

Answer(s): $51