Tom and Caden had a total of $120. Tom gave $29 to Caden. In return, Caden gave
13 of his money to Tom. In the end, Tom had four times as much money as Caden. How much money did Tom have at first?
| |
Tom |
Caden |
Total |
| Before |
|
|
$120 |
| Change 1 |
- $29 |
+ $29 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Tom
and Caden
in the end |
4 u |
1 u |
$120 |
The total amount that Caden and Tom had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 120
1 u = 120 ÷ 5 = 24
Amount that Tom has in the end
= 4 u
= 4 x 24
= $96
Amount that Caden has in the end
= 1 u
= $24
2 p = 1 u = 24
1 p = 24 ÷ 2 = 12
Amount that Caden gave to Tom
= 1 p
= 1 x 12
= $12
Amount that Tom had at first
= 96 - 12 + 29
= $113
Answer(s): $113
