Zane, Zeph and George shared a sum of money. The amount received by Zeph was
45 the amount of money received by George. After Zane had given $49 to Zeph and $23 to George, Zeph 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 Zane and Zeph had at first.
|
Zane |
Zeph |
George |
Before |
4 u + 115 |
4 u |
5 u |
Change 1 |
- 49 |
+ 49 |
|
Change 2 |
- 23 |
|
+ 23 |
Change 3 |
|
- 6 |
+ 6 |
After |
4 u + 43 |
4 u + 43 |
5 u + 29 |
Amount that Zeph had in the end = 4 u + 43
Amount that George had in the end = 5 u + 29
Amount that Zane had at first
= 4 u + 43 + 49 + 23
= 4 u + 115
Amount that Zeph and George had in the end is the same.
4 u + 43 = 5 u + 29
5 u - 4 u = 43 - 29
1 u = 14
Amount that Zane and Zeph had in the end is the same.
Amount that Zane had in the end
= 4 u + 43
= 4 x 14 + 43
= 56 + 43
= $99
Amount that Zane had at first
= 99 + 49 + 23
= $171
Difference in the amounts between Zane and Zeph at first
= 171 - 56
= $115
Answer(s): $115