Question

On the most recent exam in 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 $85\%,$ and

• $50$ students earned a score of at least $80\%.$

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

$8$

$14$

$22$

$37$

$45$

Video solution:

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Written solution:

Notice that the numbers of students in each category keeps increasing, which makes sense because the categories are getting broader.

We want to include all $50$ of the students who earned a score of at least $80\%$ but exclude all $13$ of the students who earned a score of at least $90\%.$ So, the answer is $50 - 13 = 37,$ which is choice D.

2025 AMC 8 Problem 7

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Written solution:

Problem 7 in Other Years