Question

A large community College has proffers abd lectures the total number of faculty members is 136 the school reported that they have 6 proffers for every 11 lectures how many proffers does the community college employ

Answer 1

To find the number of professors, we use the provided ratio of professors to lecturers and the total faculty count. By expressing the number of lecturers in terms of professors, we can solve the equation to find that the college employs 48 professors.

Step-by-step explanation:

To determine how many professors the community college employs, we will use the ratio provided. The college has 6 professors for every 11 lecturers. Let's denote the number of professors as P and the number of lecturers as L. Using the ratio, we can write it as P/L = 6/11. Since we know the total number of faculty members is 136, we can also write P + L = 136.

To solve for P, we can follow these steps:

First, express L in terms of P using the ratio, L = (11/6)*P.

Substitute this into the total number of faculty members equation: P + (11/6)*P = 136.

Solve this equation for P, first by combining like terms: (17/6)*P = 136.

Now, divide both sides of the equation by (17/6) to isolate P: P = 136 * (6/17).

Finally, calculate P: P = 48.

The community college employs 48 professors.