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Math Help - quiz participants

  1. #1
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    quiz participants

    I need help in the below question.
    thanks

    Jack clinched 22nd position in a quiz. His position is just behind 3/7 of all the participants. How many participants are there altogether?
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  2. #2
    Super Member Quacky's Avatar
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    Re: quiz participants

    \frac{3}{7} of the participants came 21st or higher.

    \frac{3}{7}x=21
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  3. #3
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    quiz

    Quote Originally Posted by kingman View Post
    I need help in the below question.
    thanks

    Jack clinched 22nd position in a quiz. His position is just behind 3/7 of all the participants. How many participants are there altogether?
    Can you please explain the statement "frac{3}{7} of the participants came 21st or higher."

    how the 22nd position and 21st positions related to the number of participants. Is here a one to one corresepodence between them.
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  4. #4
    Super Member Quacky's Avatar
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    Re: quiz

    Oh, I went with the assumption that there were no tied scores. If there could be tied scores, there is no way of telling, so I think the assumption is logical.

    We are told that Jack's position of 22nd was just behind the position of 3 out of every 7 people that took the quiz. This means that the 21 people that have surpassed Jack's position make up \frac{3}{7} of the total participants.

    I let x= the total number of participants.
    \frac{3}{7}x=21 because Jack was 1 position behind \frac{3}{7} of the total amount of people taking the quiz.
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