Cody and Gabriel had $153 and $135 respectively. Each of them bought a jacket and a blouse at the same price. The cost of the jacket was 5 times as much as the blouse. In the end, Cody had 3 times as much money as Gabriel. What was the difference between the cost of the blouse and the jacket?
|
Cody |
Gabriel |
Difference |
Before |
$153 |
$135 |
$18 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Cody and Gabriel 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 = 153 - 135
2 u = 18
1 u = 18 ÷ 2 = 9
Cost of 1 jacket = 5 p
Cost of 1 blouse = 1 p
Total cost of 1 jacket and 1 blouse
= 5 p + 1 p
= 6 p
6 p = 135 - 9
6 p = 126
1 p = 126 ÷ 6 = 21
Difference in the cost between the jacket and the blouse
= 5 p - 1 p
= 4 p
= 4 x 21
= $84
Answer(s): $84