Peter and Oscar had $60 and $45 respectively. Each of them bought a hoodie and a cardigan at the same price. The cost of the hoodie was 3 times as much as the cardigan. In the end, Peter had 4 times as much money as Oscar. What was the difference between the cost of the cardigan and the hoodie?
|
Peter |
Oscar |
Difference |
Before |
$60 |
$45 |
$15 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Peter 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 = 60 - 45
3 u = 15
1 u = 15 ÷ 3 = 5
Cost of 1 hoodie = 3 p
Cost of 1 cardigan = 1 p
Total cost of 1 hoodie and 1 cardigan
= 3 p + 1 p
= 4 p
4 p = 45 - 5
4 p = 40
1 p = 40 ÷ 4 = 10
Difference in the cost between the hoodie and the cardigan
= 3 p - 1 p
= 2 p
= 2 x 10
= $20
Answer(s): $20