Bryan and Vaidev had $219 and $193 respectively. Each of them bought a shirt and a skirt at the same price. The cost of the shirt was 5 times as much as the skirt. In the end, Bryan had 3 times as much money as Vaidev. What was the difference between the cost of the skirt and the shirt?
|
Bryan |
Vaidev |
Difference |
Before |
$219 |
$193 |
$26 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Bryan and Vaidev 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 = 219 - 193
2 u = 26
1 u = 26 ÷ 2 = 13
Cost of 1 shirt = 5 p
Cost of 1 skirt = 1 p
Total cost of 1 shirt and 1 skirt
= 5 p + 1 p
= 6 p
6 p = 193 - 13
6 p = 180
1 p = 180 ÷ 6 = 30
Difference in the cost between the shirt and the skirt
= 5 p - 1 p
= 4 p
= 4 x 30
= $120
Answer(s): $120