# SOLUTION: Business production: A business has three machines that manufacture containers. Together they make 100 containers per day, whereas the two fastest machines can make 80 container

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: Business production: A business has three machines that manufacture containers. Together they make 100 containers per day, whereas the two fastest machines can make 80 container      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Miscellaneous Word Problems Question 449384: Business production: A business has three machines that manufacture containers. Together they make 100 containers per day, whereas the two fastest machines can make 80 containers a day. The fastest machine makes 34 more containers per day than the slowest machine. A. letting x, y, and z, be the number of containers that the machines make from fastest to slowest, write a system of three equations whose solution gives the number of containers that each machine can make. B. Solve the system Answer by jorel1380(2518)   (Show Source): You can put this solution on YOUR website!x+y+z=100 x+y=80 x-z=34 ------------- x-34=z (x+y)+z=100 80+x-34=100 x=54 y=80-54=26 z=x-34=20 Machines x,y,and z make 54,26, and 20 containers a day, respectively..