Michael and Asher had $185 and $141 respectively. Each of them bought a jacket and a cardigan at the same price. The cost of the jacket was 4 times as much as the cardigan. In the end, Michael had 5 times as much money as Asher. What was the difference between the cost of the cardigan and the jacket?
|
Michael |
Asher |
Difference |
Before |
$185 |
$141 |
$44 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Michael 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 = 185 - 141
4 u = 44
1 u = 44 ÷ 4 = 11
Cost of 1 jacket = 4 p
Cost of 1 cardigan = 1 p
Total cost of 1 jacket and 1 cardigan
= 4 p + 1 p
= 5 p
5 p = 141 - 11
5 p = 130
1 p = 130 ÷ 5 = 26
Difference in the cost between the jacket and the cardigan
= 4 p - 1 p
= 3 p
= 3 x 26
= $78
Answer(s): $78