An instructor makes $15 more per hour than an assistant. If the combined hourly wage of the assistant and instructor is $65, what is the hourly wage of the assistant?

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Answer 1 · 2015-12-21T16:37:09

The hourly wage of the assistant #color(blue)(=25$#

Let us denote the hourly wage of the assistant as #color(blue)(x#

So, as per the question the hourly wage of the instructor is :
#color(blue)(x)+15 $#

The combined hourly wage of both assistant #+# instructor

#color(blue)(x) +color(blue)(x)+15$ = 65 $#

#2x+15 = 65 #

#2x = 65-15 #

#2x = 50 #

#x=50/2#

#color(blue)(x=25$#

The hourly wage of the assistant #color(blue)(=25$#