SOLUTION: Dan works 8 hrs more per week than Jen. As a matter of fact he works as many hours in two weeks as Jen does in 10, how many hours to each of them work in a week?

Question 993762: Dan works 8 hrs more per week than Jen. As a matter of fact he works as many hours in two weeks as Jen does in 10, how many hours to each of them work in a week?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x is the number of hours that jen works in a week.
x + 8 is the number of hours that dan works in a week.

in 2 weeks, dan works 2 * (x+8) = 2x + 16 hours.

in 10 weeks, jen works 10 * x = 10x hours.

dan works as many hours in 2 weeks as jen works in 10 weeks.

2x + 16 = 10x

solve for x to get x = 2.

jen works 2 hours a week.
dan works 10 hours a week.

in 2 weeks dan works 20 hours.
in 10 weeks jen works 20 hours.

all requirements of the problem have been solved, so your solution is:

dan works 10 hours a week and jen works 2 hours a week.

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