Difference between revisions of "2025 AMC 8 Problems/Problem 7"

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

@@ Line 1: / Line 1: @@
-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>.

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Difference between revisions of "2025 AMC 8 Problems/Problem 7"

Revision as of 21:30, 29 January 2025

Problem 7

Solution