Warren, Will and Tommy shared a sum of money. The amount received by Will was
45 the amount of money received by Tommy. After Warren had given $43 to Will and $28 to Tommy, Will gave $2 to Tommy. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Warren and Will had at first.
|
Warren |
Will |
Tommy |
Before |
4 u + 112 |
4 u |
5 u |
Change 1 |
- 43 |
+ 43 |
|
Change 2 |
- 28 |
|
+ 28 |
Change 3 |
|
- 2 |
+ 2 |
After |
4 u + 41 |
4 u + 41 |
5 u + 30 |
Amount that Will had in the end = 4 u + 41
Amount that Tommy had in the end = 5 u + 30
Amount that Warren had at first
= 4 u + 41 + 43 + 28
= 4 u + 112
Amount that Will and Tommy had in the end is the same.
4 u + 41 = 5 u + 30
5 u - 4 u = 41 - 30
1 u = 11
Amount that Warren and Will had in the end is the same.
Amount that Warren had in the end
= 4 u + 41
= 4 x 11 + 41
= 44 + 41
= $85
Amount that Warren had at first
= 85 + 43 + 28
= $156
Difference in the amounts between Warren and Will at first
= 156 - 44
= $112
Answer(s): $112