Archie and Michael had $106 and $66 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, Archie had 5 times as much money as Michael. What was the difference between the cost of the jacket and the blouse?
|
Archie |
Michael |
Difference |
Before |
$106 |
$66 |
$40 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Archie and Michael 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 = 106 - 66
4 u = 40
1 u = 40 ÷ 4 = 10
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 = 66 - 10
4 p = 56
1 p = 56 ÷ 4 = 14
Difference in the cost between the blouse and the jacket
= 3 p - 1 p
= 2 p
= 2 x 14
= $28
Answer(s): $28