SOLUTION: In college there are 15 times as many students as professors. if together the students and professors number 40,000, how students are there in college?

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Question 238711: In college there are 15 times as many students as professors. if together the students and professors number 40,000, how students are there in college?
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
The problem tells us there are 15 times more students than professors, so we can say:
x = professors
15x = students
Now, their addition equals 40,000. So our equation would be:
x%2B15x=40000
Now solve for x to find out how many professors ther are.
16x=40000
x=40000%2F16
x=2%2C500
.
Now plug this figure in 15x to determine how many students there are.
15x
15x=15%2A2500
15x=37%2C500
.
There are 2,500 professors and 37,500 students.
.
Check:
2500%2B37500=40000