Oliver and Warren had $154 and $97 respectively. Each of them bought a blouse and a cardigan at the same price. The cost of the blouse was 5 times as much as the cardigan. In the end, Oliver had 4 times as much money as Warren. What was the difference between the cost of the cardigan and the blouse?
|
Oliver |
Warren |
Difference |
Before |
$154 |
$97 |
$57 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Oliver and Warren 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 = 154 - 97
3 u = 57
1 u = 57 ÷ 3 = 19
Cost of 1 blouse = 5 p
Cost of 1 cardigan = 1 p
Total cost of 1 blouse and 1 cardigan
= 5 p + 1 p
= 6 p
6 p = 97 - 19
6 p = 78
1 p = 78 ÷ 6 = 13
Difference in the cost between the blouse and the cardigan
= 5 p - 1 p
= 4 p
= 4 x 13
= $52
Answer(s): $52