Fabian and Pierre had $146 and $106 respectively. Each of them bought a jacket and a skirt at the same price. The cost of the jacket was 3 times as much as the skirt. In the end, Fabian had 5 times as much money as Pierre. What was the difference between the cost of the skirt and the jacket?
|
Fabian |
Pierre |
Difference |
Before |
$146 |
$106 |
$40 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Fabian and Pierre 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 = 146 - 106
4 u = 40
1 u = 40 ÷ 4 = 10
Cost of 1 jacket = 3 p
Cost of 1 skirt = 1 p
Total cost of 1 jacket and 1 skirt
= 3 p + 1 p
= 4 p
4 p = 106 - 10
4 p = 96
1 p = 96 ÷ 4 = 24
Difference in the cost between the jacket and the skirt
= 3 p - 1 p
= 2 p
= 2 x 24
= $48
Answer(s): $48