2025 AMC 8 Problems/Problem 7

Problem 7

On the most recent exam on Prof. Xochi's class,

$5$ students earned a score of at least $95$ %,

$13$ students earned a score of at least $90$ %,

$27$ students earned a score of at least $85$ %,

$50$ students earned a score of at least $80$ %,

How many students earned a score of at least 80% and less than 90%?

$\textbf{(A)}\ 8\qquad \textbf{(B)}\ 14\qquad \textbf{(C)}\ 22\qquad \textbf{(D)}\ 37\qquad \textbf{(E)}\ 45$

Solution

$50$ people scored at least $80\%$ , and out of these $50$ people, $13$ of them earned at least $90\%$ , so the people that scored in between $80\%$ and $90\%$ is $50-13 = \boxed{\text{(D)\ 37}}$ .

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2025 AMC 8 Problems/Problem 7

Problem 7

Solution