Zane, John and Warren shared a sum of money. The amount received by John was
23 the amount of money received by Warren. After Zane had given $46 to John and $27 to Warren, John gave $4 to Warren. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Zane and John had at first.
|
Zane |
John |
Warren |
Before |
2 u + 115 |
2 u |
3 u |
Change 1 |
- 46 |
+ 46 |
|
Change 2 |
- 27 |
|
+ 27 |
Change 3 |
|
- 4 |
+ 4 |
After |
2 u + 42 |
2 u + 42 |
3 u + 31 |
Amount that John had in the end = 2 u + 42
Amount that Warren had in the end = 3 u + 31
Amount that Zane had at first
= 2 u + 42 + 46 + 27
= 2 u + 115
Amount that John and Warren had in the end is the same.
2 u + 42 = 3 u + 31
3 u - 2 u = 42 - 31
1 u = 11
Amount that Zane and John had in the end is the same.
Amount that Zane had in the end
= 2 u + 42
= 2 x 11 + 42
= 22 + 42
= $64
Amount that Zane had at first
= 64 + 46 + 27
= $137
Difference in the amounts between Zane and John at first
= 137 - 22
= $115
Answer(s): $115