David, Jack and Pierre shared a sum of money. The amount received by Jack was
45 the amount of money received by Pierre. After David had given $54 to Jack and $29 to Pierre, Jack gave $2 to Pierre. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that David and Jack had at first.
|
David |
Jack |
Pierre |
Before |
4 u + 135 |
4 u |
5 u |
Change 1 |
- 54 |
+ 54 |
|
Change 2 |
- 29 |
|
+ 29 |
Change 3 |
|
- 2 |
+ 2 |
After |
4 u + 52 |
4 u + 52 |
5 u + 31 |
Amount that Jack had in the end = 4 u + 52
Amount that Pierre had in the end = 5 u + 31
Amount that David had at first
= 4 u + 52 + 54 + 29
= 4 u + 135
Amount that Jack and Pierre had in the end is the same.
4 u + 52 = 5 u + 31
5 u - 4 u = 52 - 31
1 u = 21
Amount that David and Jack had in the end is the same.
Amount that David had in the end
= 4 u + 52
= 4 x 21 + 52
= 84 + 52
= $136
Amount that David had at first
= 136 + 54 + 29
= $219
Difference in the amounts between David and Jack at first
= 219 - 84
= $135
Answer(s): $135