Daniel, Xavier and Perry shared a sum of money. The amount received by Xavier was ⁵₆ the amount of money received by Perry. After Daniel had given $45 to Xavier and $30 to Perry, Xavier gave $4 to Perry. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Daniel and Xavier had at first.

	Daniel	Xavier	Perry
Before	5 u + 116	5 u	6 u
Change 1	- 45	+ 45
Change 2	- 30		+ 30
Change 3		- 4	+ 4
After	5 u + 41	5 u + 41	6 u + 34

Amount that Xavier had in the end = 5 u + 41 

Amount that Perry had in the end = 6 u + 34

Amount that Daniel had at first 
= 5 u + 41 + 45 + 30
= 5 u + 116

Amount that Xavier and Perry had in the end is the same.

5 u + 41 = 6 u + 34
6 u - 5 u = 41 - 34

1 u = 7

Amount that Daniel and Xavier had in the end is the same.

Amount that Daniel had in the end
= 5 u + 41
= 5 x 7 + 41
= 35 + 41
= $76

Amount that Daniel had at first
= 76 + 45 + 30
= $151

Difference in the amounts between Daniel and Xavier at first
= 151 - 35
= $116

Answer(s): $116