Bryan, Mark, Valen and Vaidev shared $216. Vaidev received ¹₅ of the total amount of money received by Bryan, Mark and Valen. Bryan received ¹₃ of the total amount for Mark and Valen. Mark received ²₃ as much money as Valen. If Mark gave all his money to Vaidev, how much did Vaidev have more than Bryan in the end?

Bryan	Mark	Valen	Vaidev	Total
5x4			1x4	6x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	4 u	24 u

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

The total amount that Bryan, Mark and Valen have is repeated.  Make the total amount of Bryan, Mark and Valen the same. LCM of 20 and 5 is 20.

Total amount that Bryan, Mark, Valen and Vaidev shared = 24 u

24 u = 216

1 u = 216 ÷ 24 = 9

	Bryan	Mark	Valen	Vaidev
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 Vaidev had if Mark gave him all his money
= 4 u + 6 u
= 10 u

Amount that Vaidev had more than Bryan
= 10 u - 5 u
= 5 u
= 5 x 9
= $45

Answer(s): $45