Ben, Bryan, Vincent and Sean shared $504. Sean received ²₅ of the total amount of money received by Ben, Bryan and Vincent. Ben received ¹₃ of the total amount for Bryan and Vincent. Bryan received ²₃ as much money as Vincent. If Bryan gave all his money to Sean, how much did Sean have more than Ben in the end?

Ben	Bryan	Vincent	Sean	Total
5x4			2x4	7x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	8 u	28 u

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

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

Total amount that Ben, Bryan, Vincent and Sean shared = 28 u

28 u = 504

1 u = 504 ÷ 28 = 18

	Ben	Bryan	Vincent	Sean
Before	5 u	6 u	9 u	8 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	14 u

Amount that Sean had if Bryan gave him all his money
= 8 u + 6 u
= 14 u

Amount that Sean had more than Ben
= 14 u - 5 u
= 9 u
= 9 x 18
= $162

Answer(s): $162