Vaidev and Vincent had a total of $324. Vaidev gave $15 to Vincent. In return, Vincent gave
14 of his money to Vaidev. In the end, Vaidev had thrice as much money as Vincent. How much money did Vaidev have at first?
|
Vaidev |
Vincent |
Total |
Before |
|
|
$324 |
Change 1 |
- $15 |
+ $15 |
|
After 1 |
|
4 p |
|
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
|
3 p |
|
Comparing Vaidev and Vincent in the end |
3 u |
1 u |
$324 |
The total amount that Vincent and Vaidev had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 324
1 u = 324 ÷ 4 = 81
Amount that Vaidev has in the end
= 3 u
= 3 x 81
= $243
Amount that Vincent has in the end
= 1 u
= $81
3 p = 1 u = 81
1 p = 81 ÷ 3 = 27
Amount that Vincent gave to Vaidev
= 1 p
= 1 x 27
= $27
Amount that Vaidev had at first
= 243 - 27 + 15
= $231
Answer(s): $231