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 $32$ $32$ hours per week with a salary of $$ 6$ $$6$ .

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

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

$x y + 8 x = x y + 2 y$ $xy+8x=xy+2y$

$4 x = y$ $4x=y$

Then we know

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

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

$x = 6$ $x=6$

So

$y = 4 x$ $y=4x$

$y = 24$ $y=24$

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

Hope this will help you.