1. ## 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?

2. ## Re: quiz participants

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

$\displaystyle \frac{3}{7}x=21$

3. ## quiz

Originally Posted by kingman
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.

4. ## 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 $\displaystyle 3$ out of every $\displaystyle 7$ people that took the quiz. This means that the $\displaystyle 21$ people that have surpassed Jack's position make up $\displaystyle \frac{3}{7}$ of the total participants.

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