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?
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.