Andy, Glen, Riordan and Elijah shared $546. Elijah received ³₄ of the total amount of money received by Andy, Glen and Riordan. Andy received ³₅ of the total amount for Glen and Riordan. Glen received ¹₂ as much money as Riordan. If Riordan gave all his money to Elijah, how much did Elijah have more than Glen in the end?

Andy	Glen	Riordan	Elijah	Total
4x6			3x6	7x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	18 u	42 u

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

The total amount that Andy, Glen and Riordan have is repeated.  Make the total amount of Andy, Glen and Riordan the same. LCM of 24 and 4 is 24.

Total amount that Andy, Glen, Riordan and Elijah shared = 42 u

42 u = 546

1 u = 546 ÷ 42 = 13

	Andy	Glen	Riordan	Elijah
Before	9 u	5 u	10 u	18 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	28 u

Amount that Elijah had if Riordan gave him all his money
= 18 u + 10 u
= 28 u

Amount that Elijah had more than Glen
= 28 u - 5 u
= 23 u
= 23 x 13
= $299

Answer(s): $299