John, Liam, Michael and Ben shared $540. Ben received ¹₄ of the total amount of money received by John, Liam and Michael. John received ³₅ of the total amount for Liam and Michael. Liam received ¹₂ as much money as Michael. If Michael gave all his money to Ben, how much did Ben have more than Liam in the end?

John	Liam	Michael	Ben	Total
4x6			1x6	5x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	6 u	30 u

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

The total amount that John, Liam and Michael have is repeated.  Make the total amount of John, Liam and Michael the same. LCM of 24 and 4 is 24.

Total amount that John, Liam, Michael and Ben shared = 30 u

30 u = 540

1 u = 540 ÷ 30 = 18

	John	Liam	Michael	Ben
Before	9 u	5 u	10 u	6 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	16 u

Amount that Ben had if Michael gave him all his money
= 6 u + 10 u
= 16 u

Amount that Ben had more than Liam
= 16 u - 5 u
= 11 u
= 11 x 18
= $198

Answer(s): $198