Dylan, Perry and George shared a sum of money. The amount received by Perry was
56 the amount of money received by George. After Dylan had given $42 to Perry and $25 to George, Perry gave $6 to George. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Dylan and Perry had at first.
|
Dylan |
Perry |
George |
Before |
5 u + 103 |
5 u |
6 u |
Change 1 |
- 42 |
+ 42 |
|
Change 2 |
- 25 |
|
+ 25 |
Change 3 |
|
- 6 |
+ 6 |
After |
5 u + 36 |
5 u + 36 |
6 u + 31 |
Amount that Perry had in the end = 5 u + 36
Amount that George had in the end = 6 u + 31
Amount that Dylan had at first
= 5 u + 36 + 42 + 25
= 5 u + 103
Amount that Perry and George had in the end is the same.
5 u + 36 = 6 u + 31
6 u - 5 u = 36 - 31
1 u = 5
Amount that Dylan and Perry had in the end is the same.
Amount that Dylan had in the end
= 5 u + 36
= 5 x 5 + 36
= 25 + 36
= $61
Amount that Dylan had at first
= 61 + 42 + 25
= $128
Difference in the amounts between Dylan and Perry at first
= 128 - 25
= $103
Answer(s): $103