Ryan, Vincent, Neave and Sam shared $264. Sam received ¹₅ of the total amount of money received by Ryan, Vincent and Neave. Ryan received ¹₃ of the total amount for Vincent and Neave. Vincent received ²₃ as much money as Neave. If Vincent gave all his money to Sam, how much did Sam have more than Ryan in the end?

Ryan	Vincent	Neave	Sam	Total
5x4			1x4	6x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	4 u	24 u

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

The total amount that Ryan, Vincent and Neave have is repeated.  Make the total amount of Ryan, Vincent and Neave the same. LCM of 20 and 5 is 20.

Total amount that Ryan, Vincent, Neave and Sam shared = 24 u

24 u = 264

1 u = 264 ÷ 24 = 11

	Ryan	Vincent	Neave	Sam
Before	5 u	6 u	9 u	4 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	10 u

Amount that Sam had if Vincent gave him all his money
= 4 u + 6 u
= 10 u

Amount that Sam had more than Ryan
= 10 u - 5 u
= 5 u
= 5 x 11
= $55

Answer(s): $55