Tim and Will had a total of $240. Tim gave $40 to Will. In return, Will gave
17 of his money to Tim. In the end, Tim had thrice as much money as Will. How much money did Tim have at first?
| |
Tim |
Will |
Total |
| Before |
|
|
$240 |
| Change 1 |
- $40 |
+ $40 |
|
| After 1 |
|
7 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
6 p |
|
Comparing Tim
and Will
in the end |
3 u |
1 u |
$240 |
The total amount that Will and Tim had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 240
1 u = 240 ÷ 4 = 60
Amount that Tim has in the end
= 3 u
= 3 x 60
= $180
Amount that Will has in the end
= 1 u
= $60
6 p = 1 u = 60
1 p = 60 ÷ 6 = 10
Amount that Will gave to Tim
= 1 p
= 1 x 10
= $10
Amount that Tim had at first
= 180 - 10 + 40
= $210
Answer(s): $210
