Tommy, Warren and Oliver shared a sum of money. The amount received by Warren was
56 the amount of money received by Oliver. After Tommy had given $50 to Warren and $21 to Oliver, Warren gave $6 to Oliver. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Tommy and Warren had at first.
|
Tommy |
Warren |
Oliver |
Before |
5 u + 115 |
5 u |
6 u |
Change 1 |
- 50 |
+ 50 |
|
Change 2 |
- 21 |
|
+ 21 |
Change 3 |
|
- 6 |
+ 6 |
After |
5 u + 44 |
5 u + 44 |
6 u + 27 |
Amount that Warren had in the end = 5 u + 44
Amount that Oliver had in the end = 6 u + 27
Amount that Tommy had at first
= 5 u + 44 + 50 + 21
= 5 u + 115
Amount that Warren and Oliver had in the end is the same.
5 u + 44 = 6 u + 27
6 u - 5 u = 44 - 27
1 u = 17
Amount that Tommy and Warren had in the end is the same.
Amount that Tommy had in the end
= 5 u + 44
= 5 x 17 + 44
= 85 + 44
= $129
Amount that Tommy had at first
= 129 + 50 + 21
= $200
Difference in the amounts between Tommy and Warren at first
= 200 - 85
= $115
Answer(s): $115