Flynn, Jeremy and Liam shared a sum of money. The amount received by Jeremy was
34 the amount of money received by Liam. After Flynn had given $44 to Jeremy and $21 to Liam, Jeremy gave $7 to Liam. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Flynn and Jeremy had at first.
|
Flynn |
Jeremy |
Liam |
Before |
3 u + 102 |
3 u |
4 u |
Change 1 |
- 44 |
+ 44 |
|
Change 2 |
- 21 |
|
+ 21 |
Change 3 |
|
- 7 |
+ 7 |
After |
3 u + 37 |
3 u + 37 |
4 u + 28 |
Amount that Jeremy had in the end = 3 u + 37
Amount that Liam had in the end = 4 u + 28
Amount that Flynn had at first
= 3 u + 37 + 44 + 21
= 3 u + 102
Amount that Jeremy and Liam had in the end is the same.
3 u + 37 = 4 u + 28
4 u - 3 u = 37 - 28
1 u = 9
Amount that Flynn and Jeremy had in the end is the same.
Amount that Flynn had in the end
= 3 u + 37
= 3 x 9 + 37
= 27 + 37
= $64
Amount that Flynn had at first
= 64 + 44 + 21
= $129
Difference in the amounts between Flynn and Jeremy at first
= 129 - 27
= $102
Answer(s): $102