Ryan and Vaidev had $125 and $97 respectively. Each of them bought a sweater and a blouse at the same price. The cost of the sweater was 4 times as much as the blouse. In the end, Ryan had 5 times as much money as Vaidev. What was the difference between the cost of the blouse and the sweater?

	Ryan	Vaidev	Difference
Before	$125	$97	$28
Change	- 5 p	- 5 p
After	5 u	1 u	4 u

Since Ryan and Vaidev 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 = 125 - 97
4 u = 28

1 u = 28 ÷ 4 = 7

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

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

5 p = 97 - 7
5 p = 90

1 p = 90 ÷ 5 = 18

Difference in the cost between the sweater and the blouse
= 4 p - 1 p
= 3 p
= 3 x 18
= $54

Answer(s): $54