Jeremy and Owen had $120 and $88 respectively. Each of them bought a sweater and a blouse at the same price. The cost of the sweater was 4 times as much as the blouse. In the end, Jeremy had 5 times as much money as Owen. What was the difference between the cost of the blouse and the sweater?
|
Jeremy |
Owen |
Difference |
Before |
$120 |
$88 |
$32 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Jeremy and Owen bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
5 u - 1 u = 120 - 88
4 u = 32
1 u = 32 ÷ 4 = 8
Cost of 1 sweater = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 sweater and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 88 - 8
5 p = 80
1 p = 80 ÷ 5 = 16
Difference in the cost between the sweater and the blouse
= 4 p - 1 p
= 3 p
= 3 x 16
= $48
Answer(s): $48