Fred, Jenson and Zane shared a sum of money. The amount received by Jenson was ⁴₅ the amount of money received by Zane. After Fred had given $42 to Jenson and $23 to Zane, Jenson gave $8 to Zane. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Fred and Jenson had at first.

	Fred	Jenson	Zane
Before	4 u + 99	4 u	5 u
Change 1	- 42	+ 42
Change 2	- 23		+ 23
Change 3		- 8	+ 8
After	4 u + 34	4 u + 34	5 u + 31

Amount that Jenson had in the end = 4 u + 34 

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

Amount that Fred had at first 
= 4 u + 34 + 42 + 23
= 4 u + 99

Amount that Jenson and Zane had in the end is the same.

4 u + 34 = 5 u + 31
5 u - 4 u = 34 - 31

1 u = 3

Amount that Fred and Jenson had in the end is the same.

Amount that Fred had in the end
= 4 u + 34
= 4 x 3 + 34
= 12 + 34
= $46

Amount that Fred had at first
= 46 + 42 + 23
= $111

Difference in the amounts between Fred and Jenson at first
= 111 - 12
= $99

Answer(s): $99