John and Asher had $101 and $81 respectively. Each of them bought a blouse and a jacket at the same price. The cost of the blouse was 3 times as much as the jacket. In the end, John had 5 times as much money as Asher. What was the difference between the cost of the jacket and the blouse?
|
John |
Asher |
Difference |
Before |
$101 |
$81 |
$20 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since John and Asher 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 = 101 - 81
4 u = 20
1 u = 20 ÷ 4 = 5
Cost of 1 blouse = 3 p
Cost of 1 jacket = 1 p
Total cost of 1 blouse and 1 jacket
= 3 p + 1 p
= 4 p
4 p = 81 - 5
4 p = 76
1 p = 76 ÷ 4 = 19
Difference in the cost between the blouse and the jacket
= 3 p - 1 p
= 2 p
= 2 x 19
= $38
Answer(s): $38