Tommy and Bobby had a total of $152. Tommy gave $27 to Bobby. In return, Bobby gave
13 of his money to Tommy. In the end, Tommy had thrice as much money as Bobby. How much money did Tommy have at first?
| |
Tommy |
Bobby |
Total |
| Before |
|
|
$152 |
| Change 1 |
- $27 |
+ $27 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Tommy
and Bobby
in the end |
3 u |
1 u |
$152 |
The total amount that Bobby and Tommy had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 152
1 u = 152 ÷ 4 = 38
Amount that Tommy has in the end
= 3 u
= 3 x 38
= $114
Amount that Bobby has in the end
= 1 u
= $38
2 p = 1 u = 38
1 p = 38 ÷ 2 = 19
Amount that Bobby gave to Tommy
= 1 p
= 1 x 19
= $19
Amount that Tommy had at first
= 114 - 19 + 27
= $122
Answer(s): $122
