Cody, Elijah, Warren and Brandon shared $204. Brandon received ⁵₁₂ of the total amount of money received by Cody, Elijah and Warren. Cody received ⁴₅ of the total amount for Elijah and Warren. Elijah received ¹₃ as much money as Warren. If Elijah gave all his money to Brandon, how much did Brandon have more than Cody in the end?

Cody	Elijah	Warren	Brandon	Total
12x3			5x3	17x3
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	15 u	51 u

The total amount that Elijah and Warren have is repeated.  Make the total amount of Elijah and Warren the same.  LCM of 4 and 5 is 20.

The total amount that Cody, Elijah and Warren have is repeated.  Make the total amount of Cody, Elijah and Warren the same. LCM of 36 and 12 is 36.

Total amount that Cody, Elijah, Warren and Brandon shared = 51 u

51 u = 204

1 u = 204 ÷ 51 = 4

	Cody	Elijah	Warren	Brandon
Before	16 u	5 u	15 u	15 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	20 u

Amount that Brandon had if Elijah gave him all his money
= 15 u + 5 u
= 20 u

Amount that Brandon had more than Cody
= 20 u - 16 u
= 4 u
= 4 x 4
= $16

Answer(s): $16