SOLUTION: Kevin works 3 times as many hours in a week as Karen does. If each were to work 6h more per week, Kevin would be working twice as many hours as Karen does. How many hours does ea

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Kevin works 3 times as many hours in a week as Karen does. If each were to work 6h more per week, Kevin would be working twice as many hours as Karen does. How many hours does ea      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 108261: Kevin works 3 times as many hours in a week as Karen does. If each were to work 6h more per week, Kevin would be working twice as many hours as Karen does. How many hours does each work now?
Answer by wgunther(43) About Me  (Show Source):
You can put this solution on YOUR website!
Let E be the number of hours Kevin works, and K be the number of hours Karen works. We know that Kevin works 3 times as many hours as Karen so
%0D%0AE=3A%0D%0A
We know if they worked 6 more hours then Keven would be working twice as many hours as Karen so
%0D%0AE%2B6=2%28A%2B6%29%0D%0A
Solve this system.