Reggie, Ian, Bobby and Brandon shared $112. Brandon received ²₅ of the total amount of money received by Reggie, Ian and Bobby. Reggie received ¹₃ of the total amount for Ian and Bobby. Ian received ²₃ as much money as Bobby. If Bobby gave all his money to Brandon, how much did Brandon have more than Ian in the end?

Reggie	Ian	Bobby	Brandon	Total
5x4			2x4	7x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	8 u	28 u

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

The total amount that Reggie, Ian and Bobby have is repeated.  Make the total amount of Reggie, Ian and Bobby the same. LCM of 20 and 5 is 20.

Total amount that Reggie, Ian, Bobby and Brandon shared = 28 u

28 u = 112

1 u = 112 ÷ 28 = 4

	Reggie	Ian	Bobby	Brandon
Before	5 u	6 u	9 u	8 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	17 u

Amount that Brandon had if Bobby gave him all his money
= 8 u + 9 u
= 17 u

Amount that Brandon had more than Ian
= 17 u - 6 u
= 11 u
= 11 x 4
= $44

Answer(s): $44