SOLUTION: The dean of the graduate school reported that there was an average of 27 students in each classroom. Then, 56 students enrolled in the school, making a new total of 704 students. H

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Question 890299: The dean of the graduate school reported that there was an average of 27 students in each classroom. Then, 56 students enrolled in the school, making a new total of 704 students. How many classrooms were there?

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
56 students enrolled in the school, making a new total of 704 students.
Therefore, before those 56 students enrolled, there were 704-56 = 648 students. 

Let N = the number of classrooms

Before those 56 enrolled,
there was an average of 27 students in each classroom
Therefore

648%2FN%22%22=%22%2227

Multiply both sides of the equation by N

648%22%22=%22%2227N

Divide both sides of the equation by 27

24%22%22=%22%22N

There were 24 classrooms.

Edwin