Tom, Charlie, Julian and Ben shared $792. Ben received ⁵₆ of the total amount of money received by Tom, Charlie and Julian. Tom received ³₅ of the total amount for Charlie and Julian. Charlie received ¹₂ as much money as Julian. If Charlie gave all his money to Ben, how much did Ben have more than Tom in the end?

Tom	Charlie	Julian	Ben	Total
6x4			5x4	11x4
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	20 u	44 u

The total amount that Charlie and Julian have is repeated.  Make the total amount of Charlie and Julian the same.  LCM of 3 and 5 is 15.

The total amount that Tom, Charlie and Julian have is repeated.  Make the total amount of Tom, Charlie and Julian the same. LCM of 24 and 6 is 24.

Total amount that Tom, Charlie, Julian and Ben shared = 44 u

44 u = 792

1 u = 792 ÷ 44 = 18

	Tom	Charlie	Julian	Ben
Before	9 u	5 u	10 u	20 u
Change		- 5 u		+ 5 u
After	9 u	0 u	10 u	25 u

Amount that Ben had if Charlie gave him all his money
= 20 u + 5 u
= 25 u

Amount that Ben had more than Tom
= 25 u - 9 u
= 16 u
= 16 x 18
= $288

Answer(s): $288