In a college there are 13 times as many students as professors. If together the students and professors number 28,000, how many students are there in the college?

Answer 1

Hi Kasselle. Since there are 13 students for every 1 professor, we can make a fraction 13/14. (13 +1 =14)

We are also looking for the number of total students (x), while we know students plus professors total 28,000. So that fraction is x/28,000.

Set both fractions = to each other. 13/14 = x/28,000. Then cross multiply. We get 13 x 28,000 = 14x. Divide both sides by 14, and we get x = 26,000. This the number of students.

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