Henry and Rael had $132 and $68 respectively. Each of them bought a sweater and a skirt at the same price. The cost of the sweater was 3 times as much as the skirt. In the end, Henry had 5 times as much money as Rael. What was the difference between the cost of the skirt and the sweater?
|
Henry |
Rael |
Difference |
Before |
$132 |
$68 |
$64 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Henry and Rael 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 = 132 - 68
4 u = 64
1 u = 64 ÷ 4 = 16
Cost of 1 sweater = 3 p
Cost of 1 skirt = 1 p
Total cost of 1 sweater and 1 skirt
= 3 p + 1 p
= 4 p
4 p = 68 - 16
4 p = 52
1 p = 52 ÷ 4 = 13
Difference in the cost between the sweater and the skirt
= 3 p - 1 p
= 2 p
= 2 x 13
= $26
Answer(s): $26