Flynn, Gabriel and Carl shared a sum of money. The amount received by Gabriel was
56 the amount of money received by Carl. After Flynn had given $40 to Gabriel and $20 to Carl, Gabriel gave $5 to Carl. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Flynn and Gabriel had at first.
|
Flynn |
Gabriel |
Carl |
Before |
5 u + 95 |
5 u |
6 u |
Change 1 |
- 40 |
+ 40 |
|
Change 2 |
- 20 |
|
+ 20 |
Change 3 |
|
- 5 |
+ 5 |
After |
5 u + 35 |
5 u + 35 |
6 u + 25 |
Amount that Gabriel had in the end = 5 u + 35
Amount that Carl had in the end = 6 u + 25
Amount that Flynn had at first
= 5 u + 35 + 40 + 20
= 5 u + 95
Amount that Gabriel and Carl had in the end is the same.
5 u + 35 = 6 u + 25
6 u - 5 u = 35 - 25
1 u = 10
Amount that Flynn and Gabriel had in the end is the same.
Amount that Flynn had in the end
= 5 u + 35
= 5 x 10 + 35
= 50 + 35
= $85
Amount that Flynn had at first
= 85 + 40 + 20
= $145
Difference in the amounts between Flynn and Gabriel at first
= 145 - 50
= $95
Answer(s): $95