Luis and Mark had $170 and $126 respectively. Each of them bought a jacket and a skirt at the same price. The cost of the jacket was 4 times as much as the skirt. In the end, Luis had 5 times as much money as Mark. What was the difference between the cost of the skirt and the jacket?
|
Luis |
Mark |
Difference |
Before |
$170 |
$126 |
$44 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Luis and Mark 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 = 170 - 126
4 u = 44
1 u = 44 ÷ 4 = 11
Cost of 1 jacket = 4 p
Cost of 1 skirt = 1 p
Total cost of 1 jacket and 1 skirt
= 4 p + 1 p
= 5 p
5 p = 126 - 11
5 p = 115
1 p = 115 ÷ 5 = 23
Difference in the cost between the jacket and the skirt
= 4 p - 1 p
= 3 p
= 3 x 23
= $69
Answer(s): $69