Difference between revisions of "2010 AMC 10B Problems/Problem 12"

(Created page with 'The minimum possible value occurs when 20% of the students who originally answered "No." answer "Yes." In this case, x=20 ---- The maximum possible value occurs when 30% of the s…')
 
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The minimum possible value occurs when 20% of the students who originally answered "No." answer "Yes." In this case, x=20
 
The minimum possible value occurs when 20% of the students who originally answered "No." answer "Yes." In this case, x=20
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+
 
 
The maximum possible value occurs when 30% of the students who originally answered "Yes." answer "No." and the 50% of the students who originally answered "No." answer "Yes." In this case, x=50+30=80
 
The maximum possible value occurs when 30% of the students who originally answered "Yes." answer "No." and the 50% of the students who originally answered "No." answer "Yes." In this case, x=50+30=80
  
Subtract 20 from 80 to obtain an answer of <math>\boxed\{\mathrm {(D)} 60}</math>
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Subtract 20 from 80 to obtain an answer of <math>\boxed{\mathrm {(D)} 60}</math>

Revision as of 15:00, 24 January 2011

The minimum possible value occurs when 20% of the students who originally answered "No." answer "Yes." In this case, x=20

The maximum possible value occurs when 30% of the students who originally answered "Yes." answer "No." and the 50% of the students who originally answered "No." answer "Yes." In this case, x=50+30=80

Subtract 20 from 80 to obtain an answer of $\boxed{\mathrm {(D)} 60}$