Elijah, Pierre, Tommy and Caden shared $576. Caden received ³₅ of the total amount of money received by Elijah, Pierre and Tommy. Elijah received ¹₃ of the total amount for Pierre and Tommy. Pierre received ²₃ as much money as Tommy. If Pierre gave all his money to Caden, how much did Caden have more than Elijah in the end?

Elijah	Pierre	Tommy	Caden	Total
5x4			3x4	8x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	12 u	32 u

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

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

Total amount that Elijah, Pierre, Tommy and Caden shared = 32 u

32 u = 576

1 u = 576 ÷ 32 = 18

	Elijah	Pierre	Tommy	Caden
Before	5 u	6 u	9 u	12 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	18 u

Amount that Caden had if Pierre gave him all his money
= 12 u + 6 u
= 18 u

Amount that Caden had more than Elijah
= 18 u - 5 u
= 13 u
= 13 x 18
= $234

Answer(s): $234