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

1 Answer
Jan 4, 2017

The assistant´s hourly wage is $25$25.

Explanation:

If we consider the assistant´s hourly wage as xx, then the instructor´s hourly wage will be (x+15)(x+15). Since we know the combined hourly wages, we can calculate the assistant´s wage as follows.

x+(x+15)=65x+(x+15)=65

Open the brackets and simplify.

x+x+15=65x+x+15=65

2x+15=652x+15=65

Subtract 1515 from both sides.

2x=502x=50

Divide both sides by 22.

x=25x=25