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(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let solve it MENTALLY. 


    5%2F7 of the student population is 5000.


    Hence,  1%2F7  of the population is  1000.


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

Solved.



Or algebraically: 


    %285%2F7%29x = 5000


    x = 5000%2A%287%2F5%29 = 1000*7 = 7000,


    giving the same answer.


Solved and explained.