Reggie and Paul had $164 and $131 respectively. Each of them bought a skirt and a jacket at the same price. The cost of the skirt was 3 times as much as the jacket. In the end, Reggie had 4 times as much money as Paul. What was the difference between the cost of the jacket and the skirt?
|
Reggie |
Paul |
Difference |
Before |
$164 |
$131 |
$33 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Reggie and Paul bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 164 - 131
3 u = 33
1 u = 33 ÷ 3 = 11
Cost of 1 skirt = 3 p
Cost of 1 jacket = 1 p
Total cost of 1 skirt and 1 jacket
= 3 p + 1 p
= 4 p
4 p = 131 - 11
4 p = 120
1 p = 120 ÷ 4 = 30
Difference in the cost between the skirt and the jacket
= 3 p - 1 p
= 2 p
= 2 x 30
= $60
Answer(s): $60