Paul and Warren had $178 and $122 respectively. Each of them bought a shirt and a skirt at the same price. The cost of the shirt was 3 times as much as the skirt. In the end, Paul had 5 times as much money as Warren. What was the difference between the cost of the skirt and the shirt?
|
Paul |
Warren |
Difference |
Before |
$178 |
$122 |
$56 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Paul 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 = 178 - 122
4 u = 56
1 u = 56 ÷ 4 = 14
Cost of 1 shirt = 3 p
Cost of 1 skirt = 1 p
Total cost of 1 shirt and 1 skirt
= 3 p + 1 p
= 4 p
4 p = 122 - 14
4 p = 108
1 p = 108 ÷ 4 = 27
Difference in the cost between the shirt and the skirt
= 3 p - 1 p
= 2 p
= 2 x 27
= $54
Answer(s): $54