SOLUTION: ​Five- sevenths of the students at a nearby college live in dormitories. If 5000 students at the college live in​ dormitories, how many students are there in the​ college?

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Question 1178003: ​Five- sevenths of the students at a nearby college live in dormitories. If 5000 students at the college live in​ dormitories, how many students are there in the​ college?
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.

Let solve it MENTALLY. 


     of the student population is 5000.


    Hence,    of the population is  1000.


    It means that the total population of the students in the college is  7000.    ANSWER

Solved.



Or algebraically: 


     = 5000


    x =  = 1000*7 = 7000,


    giving the same answer.


Solved and explained.




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