Ben and Tim had a total of $120. Ben gave $17 to Tim. In return, Tim gave
17 of his money to Ben. In the end, Ben had thrice as much money as Tim. How much money did Ben have at first?
| |
Ben |
Tim |
Total |
| Before |
|
|
$120 |
| Change 1 |
- $17 |
+ $17 |
|
| After 1 |
|
7 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
6 p |
|
Comparing Ben
and Tim
in the end |
3 u |
1 u |
$120 |
The total amount that Tim and Ben had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 120
1 u = 120 ÷ 4 = 30
Amount that Ben has in the end
= 3 u
= 3 x 30
= $90
Amount that Tim has in the end
= 1 u
= $30
6 p = 1 u = 30
1 p = 30 ÷ 6 = 5
Amount that Tim gave to Ben
= 1 p
= 1 x 5
= $5
Amount that Ben had at first
= 90 - 5 + 17
= $102
Answer(s): $102
