Zeph and Jeremy had $134 and $108 respectively. Each of them bought a blouse and a hoodie at the same price. The cost of the blouse was 4 times as much as the hoodie. In the end, Zeph had 3 times as much money as Jeremy. What was the difference between the cost of the hoodie and the blouse?
|
Zeph |
Jeremy |
Difference |
Before |
$134 |
$108 |
$26 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Zeph and Jeremy 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 = 134 - 108
2 u = 26
1 u = 26 ÷ 2 = 13
Cost of 1 blouse = 4 p
Cost of 1 hoodie = 1 p
Total cost of 1 blouse and 1 hoodie
= 4 p + 1 p
= 5 p
5 p = 108 - 13
5 p = 95
1 p = 95 ÷ 5 = 19
Difference in the cost between the blouse and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 19
= $57
Answer(s): $57