Oscar and Peter had $124 and $70 respectively. Each of them bought a sweater and a blouse at the same price. The cost of the sweater was 3 times as much as the blouse. In the end, Oscar had 4 times as much money as Peter. What was the difference between the cost of the blouse and the sweater?
|
Oscar |
Peter |
Difference |
Before |
$124 |
$70 |
$54 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Oscar and Peter 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 = 124 - 70
3 u = 54
1 u = 54 ÷ 3 = 18
Cost of 1 sweater = 3 p
Cost of 1 blouse = 1 p
Total cost of 1 sweater and 1 blouse
= 3 p + 1 p
= 4 p
4 p = 70 - 18
4 p = 52
1 p = 52 ÷ 4 = 13
Difference in the cost between the sweater and the blouse
= 3 p - 1 p
= 2 p
= 2 x 13
= $26
Answer(s): $26