Difference between revisions of "2006 AMC 8 Problems/Problem 8"
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− | + | == Problem == | |
− | The | + | The table shows some of the results of a survey by radiostation KAMC. What percentage of the males surveyed listen to the station? |
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+ | <math> \begin{tabular}{|c|c|c|c|}\hline & Listen & Don't Listen & Total\\ \hline Males & ? & 26 & ?\\ \hline Females & 58 & ? & 96\\ \hline Total & 136 & 64 & 200\\ \hline\end{tabular} </math> | ||
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+ | <math> \textbf{(A)}\ 39\qquad\textbf{(B)}\ 48\qquad\textbf{(C)}\ 52\qquad\textbf{(D)}\ 55\qquad\textbf{(E)}\ 75 </math> | ||
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+ | == Solution == | ||
+ | Filling out the chart, it becomes | ||
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+ | <math> \begin{tabular}{|c|c|c|c|}\hline & Listen & Don't Listen & Total\\ \hline Males & 78 & 26 & 104\\ \hline Females & 58 & 38 & 96\\ \hline Total & 136 & 64 & 200\\ \hline\end{tabular} </math> | ||
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+ | Thus, the percentage of males surveyed that listen to the station is <math> 100 \cdot \frac{78}{104} \%= \boxed{\textbf{(E)}\ 75 \%} </math>. | ||
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==See Also== | ==See Also== | ||
{{AMC8 box|year=2006|num-b=7|num-a=9}} | {{AMC8 box|year=2006|num-b=7|num-a=9}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 17:05, 3 January 2023
Problem
The table shows some of the results of a survey by radiostation KAMC. What percentage of the males surveyed listen to the station?
Solution
Filling out the chart, it becomes
Thus, the percentage of males surveyed that listen to the station is .
See Also
2006 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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 AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.