Zane and Japheth had $168 and $129 respectively. Each of them bought a blouse and a jacket at the same price. The cost of the blouse was 3 times as much as the jacket. In the end, Zane had 4 times as much money as Japheth. What was the difference between the cost of the jacket and the blouse?
|
Zane |
Japheth |
Difference |
Before |
$168 |
$129 |
$39 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Zane and Japheth bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 168 - 129
3 u = 39
1 u = 39 ÷ 3 = 13
Cost of 1 blouse = 3 p
Cost of 1 jacket = 1 p
Total cost of 1 blouse and 1 jacket
= 3 p + 1 p
= 4 p
4 p = 129 - 13
4 p = 116
1 p = 116 ÷ 4 = 29
Difference in the cost between the blouse and the jacket
= 3 p - 1 p
= 2 p
= 2 x 29
= $58
Answer(s): $58