Perry and Fred had $80 and $60 respectively. Each of them bought a skirt and a blouse at the same price. The cost of the skirt was 4 times as much as the blouse. In the end, Perry had 3 times as much money as Fred. What was the difference between the cost of the blouse and the skirt?
|
Perry |
Fred |
Difference |
Before |
$80 |
$60 |
$20 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Perry and Fred 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 = 80 - 60
2 u = 20
1 u = 20 ÷ 2 = 10
Cost of 1 skirt = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 skirt and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 60 - 10
5 p = 50
1 p = 50 ÷ 5 = 10
Difference in the cost between the skirt and the blouse
= 4 p - 1 p
= 3 p
= 3 x 10
= $30
Answer(s): $30