SOLUTION: A sum of money is to be divided among Allan, Bill and Carol. Allan receives $1 plus one-third of what is left. Bill then receives $6 plus one-third of what remains. Carol rec

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A sum of money is to be divided among Allan, Bill and Carol. Allan receives $1 plus one-third of what is left. Bill then receives $6 plus one-third of what remains. Carol rec      Log On


   

Question 287187: A sum of money is to be divided among Allan, Bill and Carol.
Allan receives $1 plus one-third of what is left.
Bill then receives $6 plus one-third of what remains.
Carol receives the rest, which amounts to $40.
How much did Bill receive?
(A) $26 (B) $28 (C) $30 (D) $32 (E) $34
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Working backwards:
Carol received $40
Bill received $6 + x/3 and leaves 40
2x/3=40
x/3=20
x=60
B=$66
Allan $1+2x/3=66
2x/3=66
x/3=33
x=99
A=$100
So we start out with $100
Allan gets $1 leaving 99
plus 1/3=33
Alan receives 1+33=$34 leaving $66
Bill receives $6 plus 1/3
6+20=$26 dollars leaving $40
Carol gets $40
Alan $34
Bill $26
Carol $40
Bill receives $26