Nick and Oscar had $182 and $131 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, Nick had 4 times as much money as Oscar. What was the difference between the cost of the jacket and the cardigan?
|
Nick |
Oscar |
Difference |
Before |
$182 |
$131 |
$51 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Nick and Oscar bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 182 - 131
3 u = 51
1 u = 51 ÷ 3 = 17
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 = 131 - 17
6 p = 114
1 p = 114 ÷ 6 = 19
Difference in the cost between the cardigan and the jacket
= 5 p - 1 p
= 4 p
= 4 x 19
= $76
Answer(s): $76