Math Gold Medalist

Lor

2023 AMC 12A 

Problem 8

Maureen is keeping track of the mean of her quiz scores this semester. If Maureen scores an $11$ on the next quiz, her mean will increase by $1$. If she scores an $11$ on each of the next three quizzes, her mean will increase by $2$. What is the mean of her quiz scores currently?

$\textbf{(A) }4\qquad\textbf{(B) }5\qquad\textbf{(C) }6\qquad\textbf{(D) }7\qquad\textbf{(E) }8$

Translating Word Problems Into Equations

Mod, Median, Range, Mean, …

(s+11)/(k+1) = s/k + 1

(s+11+11+11)/(k+3) = s/k + 2

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   Solution