Cody and Howard had $140 and $108 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, Cody had 5 times as much money as Howard. What was the difference between the cost of the skirt and the sweater?
|
Cody |
Howard |
Difference |
Before |
$140 |
$108 |
$32 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Cody and Howard 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 = 140 - 108
4 u = 32
1 u = 32 ÷ 4 = 8
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 = 108 - 8
5 p = 100
1 p = 100 ÷ 5 = 20
Difference in the cost between the sweater and the skirt
= 4 p - 1 p
= 3 p
= 3 x 20
= $60
Answer(s): $60