an instructor makes $15 more per hour than an assistant. If the combined hourly wage of the instructor and assistant is $65 , what is the hourly wage of the assistant?
a + a + 15 = 65
2a = 50
a = 25
2+2
To find the hourly wage of the assistant, let's assume the assistant's wage is x dollars per hour.
Since the instructor makes $15 more per hour than the assistant, the instructor's wage would be (x + $15) per hour.
The combined hourly wage of the instructor and assistant is given as $65. This can be expressed by the equation:
x + (x + $15) = $65
Simplifying this equation:
2x + $15 = $65
Subtracting $15 from both sides of the equation:
2x = $65 - $15
2x = $50
Dividing both sides of the equation by 2:
x = $50 / 2
x = $25
Therefore, the hourly wage of the assistant is $25.