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?

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Answer 1 · 2018-04-14T12:26:19

Adam works #32# hours per week with a salary of #$6#.

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

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

#xy+8x=xy+2y#

#4x=y#

Then we know

#x(y+8)=192#

#x(4x+8)=192#

#x=6#

So

#y=4x#

#y=24#

But Adam works #(y+8 )# hours per week, so he works #32# hours.

Hope this will help you.