Charlie and Paul had a total of $140. Charlie gave $46 to Paul. In return, Paul gave
18 of his money to Charlie. In the end, Charlie had thrice as much money as Paul. How much money did Charlie have at first?
| |
Charlie |
Paul |
Total |
| Before |
|
|
$140 |
| Change 1 |
- $46 |
+ $46 |
|
| After 1 |
|
8 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
7 p |
|
Comparing Charlie
and Paul
in the end |
3 u |
1 u |
$140 |
The total amount that Paul and Charlie had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 140
1 u = 140 ÷ 4 = 35
Amount that Charlie has in the end
= 3 u
= 3 x 35
= $105
Amount that Paul has in the end
= 1 u
= $35
7 p = 1 u = 35
1 p = 35 ÷ 7 = 5
Amount that Paul gave to Charlie
= 1 p
= 1 x 5
= $5
Amount that Charlie had at first
= 105 - 5 + 46
= $146
Answer(s): $146
