Jenson and Justin had $153 and $121 respectively. Each of them bought a skirt and a hoodie at the same price. The cost of the skirt was 4 times as much as the hoodie. In the end, Jenson had 3 times as much money as Justin. What was the difference between the cost of the hoodie and the skirt?
|
Jenson |
Justin |
Difference |
Before |
$153 |
$121 |
$32 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Jenson and Justin 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 - 121
2 u = 32
1 u = 32 ÷ 2 = 16
Cost of 1 skirt = 4 p
Cost of 1 hoodie = 1 p
Total cost of 1 skirt and 1 hoodie
= 4 p + 1 p
= 5 p
5 p = 121 - 16
5 p = 105
1 p = 105 ÷ 5 = 21
Difference in the cost between the skirt and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 21
= $63
Answer(s): $63