Adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assistant in boutique that pays $(X+2) per hour Adam work 8 hour more per week than Jeeny and they each earn $192 a week . find the value of x and the number?

1 Answer
Apr 14, 2018

Adam works 3232 hours per week with a salary of $6$6.

Explanation:

Suppose Jenny works yy hours per week. Then Adam works (y+8)(y+8) hours per week. Since they earn the same amount of salary,

x(y+8)=(x+2)yx(y+8)=(x+2)y

xy+8x=xy+2yxy+8x=xy+2y

4x=y4x=y

Then we know

x(y+8)=192x(y+8)=192

x(4x+8)=192x(4x+8)=192

x=6x=6

So

y=4xy=4x

y=24y=24

But Adam works (y+8 )(y+8) hours per week, so he works 3232 hours.

Hope this will help you.