Bryan and Reggie had $170 and $98 respectively. Each of them bought a hoodie and a skirt at the same price. The cost of the hoodie was 4 times as much as the skirt. In the end, Bryan had 5 times as much money as Reggie. What was the difference between the cost of the skirt and the hoodie?
|
Bryan |
Reggie |
Difference |
Before |
$170 |
$98 |
$72 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Bryan and Reggie bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
5 u - 1 u = 170 - 98
4 u = 72
1 u = 72 ÷ 4 = 18
Cost of 1 hoodie = 4 p
Cost of 1 skirt = 1 p
Total cost of 1 hoodie and 1 skirt
= 4 p + 1 p
= 5 p
5 p = 98 - 18
5 p = 80
1 p = 80 ÷ 5 = 16
Difference in the cost between the hoodie and the skirt
= 4 p - 1 p
= 3 p
= 3 x 16
= $48
Answer(s): $48