Oscar and Harry had $110 and $95 respectively. Each of them bought a skirt and a sweater at the same price. The cost of the skirt was 5 times as much as the sweater. In the end, Oscar had 4 times as much money as Harry. What was the difference between the cost of the sweater and the skirt?
|
Oscar |
Harry |
Difference |
Before |
$110 |
$95 |
$15 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Oscar and Harry 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 = 110 - 95
3 u = 15
1 u = 15 ÷ 3 = 5
Cost of 1 skirt = 5 p
Cost of 1 sweater = 1 p
Total cost of 1 skirt and 1 sweater
= 5 p + 1 p
= 6 p
6 p = 95 - 5
6 p = 90
1 p = 90 ÷ 6 = 15
Difference in the cost between the skirt and the sweater
= 5 p - 1 p
= 4 p
= 4 x 15
= $60
Answer(s): $60