Ethan and Liam had $115 and $87 respectively. Each of them bought a skirt and a jacket at the same price. The cost of the skirt was 4 times as much as the jacket. In the end, Ethan had 5 times as much money as Liam. What was the difference between the cost of the jacket and the skirt?
|
Ethan |
Liam |
Difference |
Before |
$115 |
$87 |
$28 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Ethan and Liam 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 - 87
4 u = 28
1 u = 28 ÷ 4 = 7
Cost of 1 skirt = 4 p
Cost of 1 jacket = 1 p
Total cost of 1 skirt and 1 jacket
= 4 p + 1 p
= 5 p
5 p = 87 - 7
5 p = 80
1 p = 80 ÷ 5 = 16
Difference in the cost between the skirt and the jacket
= 4 p - 1 p
= 3 p
= 3 x 16
= $48
Answer(s): $48