The number of teachers at a college is proportional to the number of students who enroll. When there were 1,947 students enrolled, there were 177 teachers.
If 264 more students enroll, how many teachers in all will there be at the college?
We are told that the number of teachers is proportional to the number of students. This means that the ratio of teachers to students remains constant.
We can set up a proportion using this information:
177/1947 = x/(1947 + 264).
Simplifying the equation, we get:
177/1947 = x/2211.
To find x, we cross-multiply:
177 * 2211 = 1947 * x.
Simplifying further, we get:
391647 = 1947x.
Dividing both sides by 1947, we find:
x = 201.
Therefore, if 264 more students enroll, there will be a total of 177 + 201 = <<177+201=378>>378 teachers at the college.