Tommy, Andy, Howard and Bobby shared $100. Bobby received ²₃ of the total amount of money received by Tommy, Andy and Howard. Tommy received ¹₄ of the total amount for Andy and Howard. Andy received ¹₂ as much money as Howard. If Howard gave all his money to Bobby, how much did Bobby have more than Andy in the end?

Tommy	Andy	Howard	Bobby	Total
3x5			2x5	5x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	10 u	25 u

The total amount that Andy and Howard have is repeated.  Make the total amount of Andy and Howard the same.  LCM of 3 and 4 is 12.

The total amount that Tommy, Andy and Howard have is repeated.  Make the total amount of Tommy, Andy and Howard the same. LCM of 15 and 3 is 15.

Total amount that Tommy, Andy, Howard and Bobby shared = 25 u

25 u = 100

1 u = 100 ÷ 25 = 4

	Tommy	Andy	Howard	Bobby
Before	3 u	4 u	8 u	10 u
Change			- 8 u	+ 8 u
After	3 u	4 u	0 u	18 u

Amount that Bobby had if Howard gave him all his money
= 10 u + 8 u
= 18 u

Amount that Bobby had more than Andy
= 18 u - 4 u
= 14 u
= 14 x 4
= $56

Answer(s): $56