Gabriel and Julian had $125 and $95 respectively. Each of them bought a jacket and a blouse at the same price. The cost of the jacket was 4 times as much as the blouse. In the end, Gabriel had 3 times as much money as Julian. What was the difference between the cost of the blouse and the jacket?
|
Gabriel |
Julian |
Difference |
Before |
$125 |
$95 |
$30 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Gabriel and Julian 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 = 125 - 95
2 u = 30
1 u = 30 ÷ 2 = 15
Cost of 1 jacket = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 jacket and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 95 - 15
5 p = 80
1 p = 80 ÷ 5 = 16
Difference in the cost between the jacket and the blouse
= 4 p - 1 p
= 3 p
= 3 x 16
= $48
Answer(s): $48