Oscar and Peter had a total of $312. Oscar gave $47 to Peter. In return, Peter gave
13 of his money to Oscar. In the end, Oscar had thrice as much money as Peter. How much money did Oscar have at first?
| |
Oscar |
Peter |
Total |
| Before |
|
|
$312 |
| Change 1 |
- $47 |
+ $47 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Oscar
and Peter
in the end |
3 u |
1 u |
$312 |
The total amount that Peter and Oscar had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 312
1 u = 312 ÷ 4 = 78
Amount that Oscar has in the end
= 3 u
= 3 x 78
= $234
Amount that Peter has in the end
= 1 u
= $78
2 p = 1 u = 78
1 p = 78 ÷ 2 = 39
Amount that Peter gave to Oscar
= 1 p
= 1 x 39
= $39
Amount that Oscar had at first
= 234 - 39 + 47
= $242
Answer(s): $242
