George and Ken had $140 and $60 respectively. Each of them bought a cardigan and a jacket at the same price. The cost of the cardigan was 3 times as much as the jacket. In the end, George had 5 times as much money as Ken. What was the difference between the cost of the jacket and the cardigan?
|
George |
Ken |
Difference |
Before |
$140 |
$60 |
$80 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since George and Ken 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 = 140 - 60
4 u = 80
1 u = 80 ÷ 4 = 20
Cost of 1 cardigan = 3 p
Cost of 1 jacket = 1 p
Total cost of 1 cardigan and 1 jacket
= 3 p + 1 p
= 4 p
4 p = 60 - 20
4 p = 40
1 p = 40 ÷ 4 = 10
Difference in the cost between the cardigan and the jacket
= 3 p - 1 p
= 2 p
= 2 x 10
= $20
Answer(s): $20