Vaidev and Ben had $88 and $66 respectively. Each of them bought a jacket and a skirt at the same price. The cost of the jacket was 4 times as much as the skirt. In the end, Vaidev had 3 times as much money as Ben. What was the difference between the cost of the skirt and the jacket?
|
Vaidev |
Ben |
Difference |
Before |
$88 |
$66 |
$22 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Vaidev and Ben bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
3 u - 1 u = 88 - 66
2 u = 22
1 u = 22 ÷ 2 = 11
Cost of 1 jacket = 4 p
Cost of 1 skirt = 1 p
Total cost of 1 jacket and 1 skirt
= 4 p + 1 p
= 5 p
5 p = 66 - 11
5 p = 55
1 p = 55 ÷ 5 = 11
Difference in the cost between the jacket and the skirt
= 4 p - 1 p
= 3 p
= 3 x 11
= $33
Answer(s): $33