Seth and Vaidev had a total of $228. Seth gave $49 to Vaidev. In return, Vaidev gave
14 of his money to Seth. In the end, Seth had thrice as much money as Vaidev. How much money did Seth have at first?
| |
Seth |
Vaidev |
Total |
| Before |
|
|
$228 |
| Change 1 |
- $49 |
+ $49 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Seth
and Vaidev
in the end |
3 u |
1 u |
$228 |
The total amount that Vaidev and Seth had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 228
1 u = 228 ÷ 4 = 57
Amount that Seth has in the end
= 3 u
= 3 x 57
= $171
Amount that Vaidev has in the end
= 1 u
= $57
3 p = 1 u = 57
1 p = 57 ÷ 3 = 19
Amount that Vaidev gave to Seth
= 1 p
= 1 x 19
= $19
Amount that Seth had at first
= 171 - 19 + 49
= $201
Answer(s): $201
