David, Elijah, Bryan and Sean shared $420. Sean received ²₅ of the total amount of money received by David, Elijah and Bryan. David received ¹₃ of the total amount for Elijah and Bryan. Elijah received ²₃ as much money as Bryan. If Elijah gave all his money to Sean, how much did Sean have more than David in the end?

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

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

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

Total amount that David, Elijah, Bryan and Sean shared = 28 u

28 u = 420

1 u = 420 ÷ 28 = 15

	David	Elijah	Bryan	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 Elijah gave him all his money
= 8 u + 6 u
= 14 u

Amount that Sean had more than David
= 14 u - 5 u
= 9 u
= 9 x 15
= $135

Answer(s): $135