Final answer:
There are 60 professors at College X.
Step-by-step explanation:
To find out how many professors there are at College X, we need to use the given information that there are 2 professors for every 55 students. First, we calculate the ratio of professors to students as 2/55.
Then, we can use this ratio to determine the number of professors for 1650 students. We set up a proportion:
2/55 = x/1650
Now, we can solve for x by cross multiplying and then dividing:
2 * 1650 = 55 * x
x = 3300/55
Therefore, there are 60 professors at College X.