Difference between revisions of "2017 AMC 10B Problems/Problem 11"

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==Problem==
 
==Problem==
At Typico High School, <math>60%</math> of the students like dancing, and the rest dislike it. Of those who like dancing, <math>80%</math> say that they like it, and the rest say that they dislike it. Of those who dislike dancing, <math>90%</math> say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?
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At Typico High School, <math>60\%</math> of the students like dancing, and the rest dislike it. Of those who like dancing, <math>80\%</math> say that they like it, and the rest say that they dislike it. Of those who dislike dancing, <math>90\%</math> say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?
  
<math>\textbf{(A)}\ 10%\qquad\textbf{(B)}\ 12%\qquad\textbf{(C)}\ 20%\qquad\textbf{(D)}\ 25%\qquad\textbf{(E)}\ 33\frac{1}{3}%</math>
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<math>\textbf{(A)}\ 10\%\qquad\textbf{(B)}\ 12\%\qquad\textbf{(C)}\ 20\%\qquad\textbf{(D)}\ 25\%\qquad\textbf{(E)}\ 33\frac{1}{3}\%</math>
 
==Solution==
 
==Solution==
 
Placeholder
 
Placeholder

Revision as of 13:33, 16 February 2017

Problem

At Typico High School, $60\%$ of the students like dancing, and the rest dislike it. Of those who like dancing, $80\%$ say that they like it, and the rest say that they dislike it. Of those who dislike dancing, $90\%$ say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?

$\textbf{(A)}\ 10\%\qquad\textbf{(B)}\ 12\%\qquad\textbf{(C)}\ 20\%\qquad\textbf{(D)}\ 25\%\qquad\textbf{(E)}\ 33\frac{1}{3}\%$

Solution

Placeholder

See Also

2017 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Problem 12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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