Ahmad and Reggie had $115 and $67 respectively. Each of them bought a sweater and a skirt at the same price. The cost of the sweater was 4 times as much as the skirt. In the end, Ahmad had 5 times as much money as Reggie. What was the difference between the cost of the skirt and the sweater?
|
Ahmad |
Reggie |
Difference |
Before |
$115 |
$67 |
$48 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Ahmad 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 = 115 - 67
4 u = 48
1 u = 48 ÷ 4 = 12
Cost of 1 sweater = 4 p
Cost of 1 skirt = 1 p
Total cost of 1 sweater and 1 skirt
= 4 p + 1 p
= 5 p
5 p = 67 - 12
5 p = 55
1 p = 55 ÷ 5 = 11
Difference in the cost between the sweater and the skirt
= 4 p - 1 p
= 3 p
= 3 x 11
= $33
Answer(s): $33