Gabriel and Asher had $160 and $132 respectively. Each of them bought a cardigan and a blouse at the same price. The cost of the cardigan was 4 times as much as the blouse. In the end, Gabriel had 5 times as much money as Asher. What was the difference between the cost of the blouse and the cardigan?
|
Gabriel |
Asher |
Difference |
Before |
$160 |
$132 |
$28 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Gabriel 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 = 160 - 132
4 u = 28
1 u = 28 ÷ 4 = 7
Cost of 1 cardigan = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 cardigan and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 132 - 7
5 p = 125
1 p = 125 ÷ 5 = 25
Difference in the cost between the cardigan and the blouse
= 4 p - 1 p
= 3 p
= 3 x 25
= $75
Answer(s): $75