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 $50-13 = \boxed{\text{(D)\ 37}}$.

~Soupboy0

Vide Solution 1 by SpreadTheMathLove

https://www.youtube.com/watch?v=jTTcscvcQmI