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! :)
