John, Julian and Neave shared a sum of money. The amount received by Julian was
45 the amount of money received by Neave. After John had given $53 to Julian and $25 to Neave, Julian gave $3 to Neave. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that John and Julian had at first.
|
John |
Julian |
Neave |
Before |
4 u + 128 |
4 u |
5 u |
Change 1 |
- 53 |
+ 53 |
|
Change 2 |
- 25 |
|
+ 25 |
Change 3 |
|
- 3 |
+ 3 |
After |
4 u + 50 |
4 u + 50 |
5 u + 28 |
Amount that Julian had in the end = 4 u + 50
Amount that Neave had in the end = 5 u + 28
Amount that John had at first
= 4 u + 50 + 53 + 25
= 4 u + 128
Amount that Julian and Neave had in the end is the same.
4 u + 50 = 5 u + 28
5 u - 4 u = 50 - 28
1 u = 22
Amount that John and Julian had in the end is the same.
Amount that John had in the end
= 4 u + 50
= 4 x 22 + 50
= 88 + 50
= $138
Amount that John had at first
= 138 + 53 + 25
= $216
Difference in the amounts between John and Julian at first
= 216 - 88
= $128
Answer(s): $128