Michael, Caden, Howard and Brandon shared $684. Brandon received ⁴₅ of the total amount of money received by Michael, Caden and Howard. Michael received ¹₃ of the total amount for Caden and Howard. Caden received ²₃ as much money as Howard. If Howard gave all his money to Brandon, how much did Brandon have more than Caden in the end?

Michael	Caden	Howard	Brandon	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

The total amount that Michael, Caden and Howard have is repeated.  Make the total amount of Michael, Caden and Howard the same. LCM of 20 and 5 is 20.

Total amount that Michael, Caden, Howard and Brandon shared = 36 u

36 u = 684

1 u = 684 ÷ 36 = 19

	Michael	Caden	Howard	Brandon
Before	5 u	6 u	9 u	16 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	25 u

Amount that Brandon had if Howard gave him all his money
= 16 u + 9 u
= 25 u

Amount that Brandon had more than Caden
= 25 u - 6 u
= 19 u
= 19 x 19
= $361

Answer(s): $361