Cole and Warren had $135 and $99 respectively. Each of them bought a blouse and a skirt at the same price. The cost of the blouse was 4 times as much as the skirt. In the end, Cole had 5 times as much money as Warren. What was the difference between the cost of the skirt and the blouse?
|
Cole |
Warren |
Difference |
Before |
$135 |
$99 |
$36 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Cole and Warren 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 = 135 - 99
4 u = 36
1 u = 36 ÷ 4 = 9
Cost of 1 blouse = 4 p
Cost of 1 skirt = 1 p
Total cost of 1 blouse and 1 skirt
= 4 p + 1 p
= 5 p
5 p = 99 - 9
5 p = 90
1 p = 90 ÷ 5 = 18
Difference in the cost between the blouse and the skirt
= 4 p - 1 p
= 3 p
= 3 x 18
= $54
Answer(s): $54