Bryan and Charlie had $123 and $89 respectively. Each of them bought a blouse and a jacket at the same price. The cost of the blouse was 5 times as much as the jacket. In the end, Bryan had 3 times as much money as Charlie. What was the difference between the cost of the jacket and the blouse?
|
Bryan |
Charlie |
Difference |
Before |
$123 |
$89 |
$34 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Bryan and Charlie 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 = 123 - 89
2 u = 34
1 u = 34 ÷ 2 = 17
Cost of 1 blouse = 5 p
Cost of 1 jacket = 1 p
Total cost of 1 blouse and 1 jacket
= 5 p + 1 p
= 6 p
6 p = 89 - 17
6 p = 72
1 p = 72 ÷ 6 = 12
Difference in the cost between the blouse and the jacket
= 5 p - 1 p
= 4 p
= 4 x 12
= $48
Answer(s): $48