Jenson and Asher had $198 and $166 respectively. Each of them bought a cardigan and a jacket at the same price. The cost of the cardigan was 5 times as much as the jacket. In the end, Jenson had 3 times as much money as Asher. What was the difference between the cost of the jacket and the cardigan?
|
Jenson |
Asher |
Difference |
Before |
$198 |
$166 |
$32 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Jenson 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.
3 u - 1 u = 198 - 166
2 u = 32
1 u = 32 ÷ 2 = 16
Cost of 1 cardigan = 5 p
Cost of 1 jacket = 1 p
Total cost of 1 cardigan and 1 jacket
= 5 p + 1 p
= 6 p
6 p = 166 - 16
6 p = 150
1 p = 150 ÷ 6 = 25
Difference in the cost between the cardigan and the jacket
= 5 p - 1 p
= 4 p
= 4 x 25
= $100
Answer(s): $100