Peter and Ethan had $168 and $136 respectively. Each of them bought a skirt and a cardigan at the same price. The cost of the skirt was 5 times as much as the cardigan. In the end, Peter had 3 times as much money as Ethan. What was the difference between the cost of the cardigan and the skirt?
|
Peter |
Ethan |
Difference |
Before |
$168 |
$136 |
$32 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Peter and Ethan 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 = 168 - 136
2 u = 32
1 u = 32 ÷ 2 = 16
Cost of 1 skirt = 5 p
Cost of 1 cardigan = 1 p
Total cost of 1 skirt and 1 cardigan
= 5 p + 1 p
= 6 p
6 p = 136 - 16
6 p = 120
1 p = 120 ÷ 6 = 20
Difference in the cost between the skirt and the cardigan
= 5 p - 1 p
= 4 p
= 4 x 20
= $80
Answer(s): $80