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

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) (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

We know if they worked 6 more hours then Keven would be working twice as many hours as Karen so

Solve this system.
RELATED QUESTIONS
Dan works 8 hrs more per week than Jen. As a matter of fact he works as many hours in two (answered by Theo)

Nick, Kevin, and Joe can paint a room in 1 hour 20 minutes if the work together. Working (answered by josgarithmetic)

1. Kevin and Karen are brother and sister. Kevin has twice as many sisters as he has... (answered by Theo)

Anita works as a part-time waitress. She earns $6.95 per hour. For the week, she makes... (answered by rfer)

Anita works part-time as a waitress. She earns $6.95 per hour. For the week, she makes... (answered by rfer)

In a basketball game, Ellen scores 20 more points than Kevin, and Kevin scores three... (answered by josgarithmetic,greenestamps)

Assume that you always want 2 employees working in the shop at all times. How many... (answered by solver91311)

betsy works 4 hrs. more each week than aaron, and together they work half as much as many (answered by mananth)