Vincent, John and Ivan shared a sum of money. The amount received by John was ⁴₅ the amount of money received by Ivan. After Vincent had given $43 to John and $28 to Ivan, John gave $3 to Ivan. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Vincent and John had at first.

	Vincent	John	Ivan
Before	4 u + 111	4 u	5 u
Change 1	- 43	+ 43
Change 2	- 28		+ 28
Change 3		- 3	+ 3
After	4 u + 40	4 u + 40	5 u + 31

Amount that John had in the end = 4 u + 40 

Amount that Ivan had in the end = 5 u + 31

Amount that Vincent had at first 
= 4 u + 40 + 43 + 28
= 4 u + 111

Amount that John and Ivan had in the end is the same.

4 u + 40 = 5 u + 31
5 u - 4 u = 40 - 31

1 u = 9

Amount that Vincent and John had in the end is the same.

Amount that Vincent had in the end
= 4 u + 40
= 4 x 9 + 40
= 36 + 40
= $76

Amount that Vincent had at first
= 76 + 43 + 28
= $147

Difference in the amounts between Vincent and John at first
= 147 - 36
= $111

Answer(s): $111