Archie had 3 times as much money as Tommy. After Tommy's father gave Tommy $35, the amount of money Archie had become $5 less than that of Tommy's. How much did Tommy have in the end?
| |
Tommy |
Archie |
| Before |
1 u |
3 u |
| Change |
+ $35 |
|
| After |
1 u + $35 |
3 u |
The amount that Archie had remains unchanged.
If Archie had another $5, Tommy and Archie would have the same amount in the end.
3 u + 5 = 1 u + 35
3 u - 1 u = 35 - 5
2 u = 35 - 5
2 u = 30
1 u = 30 ÷ 2 = 15
Amount that Tommy had in the end
= 1 u + 35
= 15 + 35
= $50
Answer(s): $50
