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2025 AMC 8 Problems/Problem 7: Difference between revisions

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The 2025 AMC 8 is not held yet. Please do not post false problems.
==Problem 7==
On the most recent exam on Prof. Xochi's class,
 
 
<math>5</math> students earned a score of at least <math>95</math>%,
 
<math>13</math> students earned a score of at least <math>90</math>%,
 
<math>27</math> students earned a score of at least <math>85</math>%,
 
<math>50</math> students earned a score of at least <math>80</math>%,
 
 
How many students earned a score of at least 80% and less than 90%?
 
<math>\textbf{(A)}\ 8\qquad \textbf{(B)}\ 14\qquad \textbf{(C)}\ 22\qquad \textbf{(D)}\ 37\qquad \textbf{(E)}\ 45 </math>
 
==Solution==
 
<math>50</math> people scored at least <math>80\%</math>, and out of these <math>50</math> people, <math>13</math> of them earned at least <math>90\%</math>, so the people that scored in between <math>80\$</math> and <math>90\%</math> is <math>50-13 = \boxed{\text{(D)\ 37}}</math>.

Revision as of 21:30, 29 January 2025

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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