Academic Courtesies – Puzzle

In a certain mixed school, where a special feature was made of the inculcation of good manners, they had a curious rule on assembling every morning. There were twice as many girls as boys. Ebery girl made a bow to every other girl, to every boy and to the teacher. Every boy made a bow to every other boy, to every girl, and to the teacher. In all there were nine hundred bows made in that model academy every morning. Now, can you say exactly how many boyd there were in the school?

If you are not careful, you are likely to get a good deal out in your calculation.

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4 Responses to “Academic Courtesies – Puzzle”


  1. 1 Valencia July 29, 2014 at 12:52 pm

    I was able to fjnd good information from your blog articles.

  2. 2 S.Karthikeyan August 23, 2006 at 12:46 pm

    jd2718.

    You did not miss anything. You were spot on! There were 20 girls and 10 boys in that school.

    Gp.
    Way off but do not worry, I am with you (Math really suck :o) )

  3. 3 gp August 23, 2006 at 9:02 am

    I suck in math. 899 Students?

  4. 4 jd2718 August 23, 2006 at 7:55 am

    Perhaps I am missing something?

    Each student bows to each other student, and makes 1 extra bow. So if there were 100 students, each student would make 99 bows to the other students, and 1 to the teacher, for 100 altogether.

    That would be 100 x 100 = 10,000 bows. But you wanted 900.

    something x itself = 900

    That would be 30. 30 students, 20 girls, 10 boys.


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