Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Difference between revisions of "2025 AMC 8 Problems/Problem 7"
Line 18: Line 18:
 
==Solution==
 
==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>.
+
<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 21:31, 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 $50-13 = \boxed{\text{(D)\ 37}}$.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2025_AMC_8_Problems/Problem_7&oldid=241049"