Michael, Vaidev, Dylan and Tommy shared $84. Tommy received ¹₆ of the total amount of money received by Michael, Vaidev and Dylan. Michael received ⁴₅ of the total amount for Vaidev and Dylan. Vaidev received ¹₃ as much money as Dylan. If Vaidev gave all his money to Tommy, how much did Tommy have more than Michael in the end?

Michael	Vaidev	Dylan	Tommy	Total
6x6			1x6	7x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	6 u	42 u

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

The total amount that Michael, Vaidev and Dylan have is repeated.  Make the total amount of Michael, Vaidev and Dylan the same. LCM of 36 and 6 is 36.

Total amount that Michael, Vaidev, Dylan and Tommy shared = 42 u

42 u = 84

1 u = 84 ÷ 42 = 2

	Michael	Vaidev	Dylan	Tommy
Before	16 u	5 u	15 u	6 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	11 u

Amount that Tommy had if Vaidev gave him all his money
= 6 u + 5 u
= 11 u

Amount that Tommy had more than Michael
= 11 u - 16 u
= -5 u
= -5 x 2
= $-10

Answer(s): $-10