Warren and Ken had $188 and $108 respectively. Each of them bought a jacket and a skirt at the same price. The cost of the jacket was 3 times as much as the skirt. In the end, Warren had 5 times as much money as Ken. What was the difference between the cost of the skirt and the jacket?
|
Warren |
Ken |
Difference |
Before |
$188 |
$108 |
$80 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Warren and Ken 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 = 188 - 108
4 u = 80
1 u = 80 ÷ 4 = 20
Cost of 1 jacket = 3 p
Cost of 1 skirt = 1 p
Total cost of 1 jacket and 1 skirt
= 3 p + 1 p
= 4 p
4 p = 108 - 20
4 p = 88
1 p = 88 ÷ 4 = 22
Difference in the cost between the jacket and the skirt
= 3 p - 1 p
= 2 p
= 2 x 22
= $44
Answer(s): $44