Paul and Lee had $120 and $92 respectively. Each of them bought a jacket and a blouse at the same price. The cost of the jacket was 4 times as much as the blouse. In the end, Paul had 5 times as much money as Lee. What was the difference between the cost of the blouse and the jacket?
|
Paul |
Lee |
Difference |
Before |
$120 |
$92 |
$28 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Paul and Lee 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 = 120 - 92
4 u = 28
1 u = 28 ÷ 4 = 7
Cost of 1 jacket = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 jacket and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 92 - 7
5 p = 85
1 p = 85 ÷ 5 = 17
Difference in the cost between the jacket and the blouse
= 4 p - 1 p
= 3 p
= 3 x 17
= $51
Answer(s): $51