SOLUTION: Three business partners (A, B and C) share profits as follows: A receives one third. C receives 45% of the remainder. B receives the balance. The ration of their respective

Algebra ->  Finance -> SOLUTION: Three business partners (A, B and C) share profits as follows: A receives one third. C receives 45% of the remainder. B receives the balance. The ration of their respective       Log On


   

Question 1170796: Three business partners (A, B and C) share profits as follows:
A receives one third.
C receives 45% of the remainder.
B receives the balance.
The ration of their respective share is:

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
A's share = (1/3)x

C's share = (9/20)(2/3)x = (18/60)x = (3/10)x

B's share = x - (1/3)x - (3/10)x = (30/30)x - (10/30)x - (9/30)x = (11/30)x

Convert all the shares to have a denominator of 30:

A's share = (1/3)x = (10/30)x
B's share = (11/30)x
C's share = (3/10)x = (9/30)x

The ration of their shares are:

A : B : C = 10 : 11 : 9