Nick, Eric and Bobby shared a sum of money. The amount received by Eric was ⁴₅ the amount of money received by Bobby. After Nick had given $51 to Eric and $28 to Bobby, Eric gave $4 to Bobby. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Nick and Eric had at first.

	Nick	Eric	Bobby
Before	4 u + 126	4 u	5 u
Change 1	- 51	+ 51
Change 2	- 28		+ 28
Change 3		- 4	+ 4
After	4 u + 47	4 u + 47	5 u + 32

Amount that Eric had in the end = 4 u + 47 

Amount that Bobby had in the end = 5 u + 32

Amount that Nick had at first 
= 4 u + 47 + 51 + 28
= 4 u + 126

Amount that Eric and Bobby had in the end is the same.

4 u + 47 = 5 u + 32
5 u - 4 u = 47 - 32

1 u = 15

Amount that Nick and Eric had in the end is the same.

Amount that Nick had in the end
= 4 u + 47
= 4 x 15 + 47
= 60 + 47
= $107

Amount that Nick had at first
= 107 + 51 + 28
= $186

Difference in the amounts between Nick and Eric at first
= 186 - 60
= $126

Answer(s): $126