Oscar, Tommy and John shared a sum of money. The amount received by Tommy was
23 the amount of money received by John. After Oscar had given $53 to Tommy and $25 to John, Tommy gave $6 to John. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Oscar and Tommy had at first.
|
Oscar |
Tommy |
John |
Before |
2 u + 125 |
2 u |
3 u |
Change 1 |
- 53 |
+ 53 |
|
Change 2 |
- 25 |
|
+ 25 |
Change 3 |
|
- 6 |
+ 6 |
After |
2 u + 47 |
2 u + 47 |
3 u + 31 |
Amount that Tommy had in the end = 2 u + 47
Amount that John had in the end = 3 u + 31
Amount that Oscar had at first
= 2 u + 47 + 53 + 25
= 2 u + 125
Amount that Tommy and John had in the end is the same.
2 u + 47 = 3 u + 31
3 u - 2 u = 47 - 31
1 u = 16
Amount that Oscar and Tommy had in the end is the same.
Amount that Oscar had in the end
= 2 u + 47
= 2 x 16 + 47
= 32 + 47
= $79
Amount that Oscar had at first
= 79 + 53 + 25
= $157
Difference in the amounts between Oscar and Tommy at first
= 157 - 32
= $125
Answer(s): $125