Warren, Sean and Tom shared a sum of money. The amount received by Sean was
45 the amount of money received by Tom. After Warren had given $50 to Sean and $26 to Tom, Sean gave $4 to Tom. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Warren and Sean had at first.
|
Warren |
Sean |
Tom |
Before |
4 u + 122 |
4 u |
5 u |
Change 1 |
- 50 |
+ 50 |
|
Change 2 |
- 26 |
|
+ 26 |
Change 3 |
|
- 4 |
+ 4 |
After |
4 u + 46 |
4 u + 46 |
5 u + 30 |
Amount that Sean had in the end = 4 u + 46
Amount that Tom had in the end = 5 u + 30
Amount that Warren had at first
= 4 u + 46 + 50 + 26
= 4 u + 122
Amount that Sean and Tom had in the end is the same.
4 u + 46 = 5 u + 30
5 u - 4 u = 46 - 30
1 u = 16
Amount that Warren and Sean had in the end is the same.
Amount that Warren had in the end
= 4 u + 46
= 4 x 16 + 46
= 64 + 46
= $110
Amount that Warren had at first
= 110 + 50 + 26
= $186
Difference in the amounts between Warren and Sean at first
= 186 - 64
= $122
Answer(s): $122