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There are between 24 and 40 students in a class

The ratio od boys to girls is 4:7

How many students are in the class?

 Oct 18, 2017
edited by Guest  Oct 18, 2017

The ratio between boys and girls is 4/7. This means that the ratio between boys and the total number of students is 4/(7+4)=4/11. Similarily, the ratio between girls and the total number is 7/11.


The the number of students be x. We know that x*4/11=whole number, and that x*7/11=whole number. The only way this can happen is if x is divisible by 11. And the only number divisible by 11 between 24 and 40 is 33, so x=33.


Note that i didnt have to include both numbers 4/11 and 7/11. It would have sufficed to just bring up one of these quotas.


Hope this helped!

 Oct 18, 2017

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