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 ->  Coordinate Systems and Linear Equations  -> Lessons -> 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


   

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.