Question 993762
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.