Ahmad, Gabriel and Sam shared a sum of money. The amount received by Gabriel was ³₄ the amount of money received by Sam. After Ahmad had given $44 to Gabriel and $29 to Sam, Gabriel gave $6 to Sam. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Ahmad and Gabriel had at first.

	Ahmad	Gabriel	Sam
Before	3 u + 111	3 u	4 u
Change 1	- 44	+ 44
Change 2	- 29		+ 29
Change 3		- 6	+ 6
After	3 u + 38	3 u + 38	4 u + 35

Amount that Gabriel had in the end = 3 u + 38 

Amount that Sam had in the end = 4 u + 35

Amount that Ahmad had at first 
= 3 u + 38 + 44 + 29
= 3 u + 111

Amount that Gabriel and Sam had in the end is the same.

3 u + 38 = 4 u + 35
4 u - 3 u = 38 - 35

1 u = 3

Amount that Ahmad and Gabriel had in the end is the same.

Amount that Ahmad had in the end
= 3 u + 38
= 3 x 3 + 38
= 9 + 38
= $47

Amount that Ahmad had at first
= 47 + 44 + 29
= $120

Difference in the amounts between Ahmad and Gabriel at first
= 120 - 9
= $111

Answer(s): $111