Ben and Charlie had a total of $312. Ben gave $25 to Charlie. In return, Charlie gave
13 of his money to Ben. In the end, Ben had twice as much money as Charlie. How much money did Ben have at first?
| |
Ben |
Charlie |
Total |
| Before |
|
|
$312 |
| Change 1 |
- $25 |
+ $25 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Ben
and Charlie
in the end |
2 u |
1 u |
$312 |
The total amount that Charlie and Ben had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 312
1 u = 312 ÷ 3 = 104
Amount that Ben has in the end
= 2 u
= 2 x 104
= $208
Amount that Charlie has in the end
= 1 u
= $104
2 p = 1 u = 104
1 p = 104 ÷ 2 = 52
Amount that Charlie gave to Ben
= 1 p
= 1 x 52
= $52
Amount that Ben had at first
= 208 - 52 + 25
= $181
Answer(s): $181
