SOLUTION: An investigator uses forms A, B, C in filling out reports. He uses form B five times as often as form A, and he uses form C three times as often as form B. If the total number of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An investigator uses forms A, B, C in filling out reports. He uses form B five times as often as form A, and he uses form C three times as often as form B. If the total number of      Log On


   



Question 199623: An investigator uses forms A, B, C in filling out reports. He uses form B five times as often as form A, and he uses form C three times as often as form B.
If the total number of all forms used in a month equals 735, how many times was form B used?

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
change everything so you have just one unknown
a=1 b=5a c=3b
a=1 b=5a c=15a
a+5a+15a=735
21a=735
a=35
b=175
c=525