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2021 AMC 10A Question 5

AMC10 · 2021 AMC 10A

Question 5

The quiz scores of a class with $k > 12$ students have a mean of $8.$ The mean of a collection of $12$ of these quiz scores is $14.$ What is the mean of the remaining quiz scores in terms of $k?$
  1. $\dfrac{14-8}{k-12}$
  2. $\dfrac{8k-168}{k-12}$
  3. $\dfrac{14}{12} - \dfrac{8}{k}$
  4. $\dfrac{14(k-12)}{k^2}$
  5. $\dfrac{14(k-12)}{8k}$