Question

A large community college has professors and lecturers. the total number of faculty is 136. The school reported that they have 6 professors for every 11 lecturers. How many professors does the community college have?

Answer 1

Let's come up with an equation for the numbers. We know that there are 136 faculty members, and there are 6 professors for every 11 lecturers. The equation could look something like this:

(6 * x) + (11 * x) = 136.

First, combine like terms:

6x + 11x = 136
17x = 136

Now, divide both sides by 17.

17x/17 = 136/17
x = 8.

Now, to check, plug in 8 for x in our equation:

(6 * 8) + (11 * 8) = 136
48 + (11 * 8) = 136
48 + 88 = 136

So to answer the question, they have 48 professors! :)