Elijah, Riordan and Glen shared a sum of money. The amount received by Riordan was ³₄ the amount of money received by Glen. After Elijah had given $51 to Riordan and $27 to Glen, Riordan gave $5 to Glen. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Elijah and Riordan had at first.

	Elijah	Riordan	Glen
Before	3 u + 124	3 u	4 u
Change 1	- 51	+ 51
Change 2	- 27		+ 27
Change 3		- 5	+ 5
After	3 u + 46	3 u + 46	4 u + 32

Amount that Riordan had in the end = 3 u + 46 

Amount that Glen had in the end = 4 u + 32

Amount that Elijah had at first 
= 3 u + 46 + 51 + 27
= 3 u + 124

Amount that Riordan and Glen had in the end is the same.

3 u + 46 = 4 u + 32
4 u - 3 u = 46 - 32

1 u = 14

Amount that Elijah and Riordan had in the end is the same.

Amount that Elijah had in the end
= 3 u + 46
= 3 x 14 + 46
= 42 + 46
= $88

Amount that Elijah had at first
= 88 + 51 + 27
= $166

Difference in the amounts between Elijah and Riordan at first
= 166 - 42
= $124

Answer(s): $124