document.write( "Question 319332: On an exam with q questions, Marie correctly answered 15 of the first 20 but just 1/3 of the rest. If her total score was 50%, what was q? \n" ); document.write( "
Algebra.Com's Answer #228654 by ankor@dixie-net.com(22740)\"\" \"About 
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On an exam with q questions, Marie correctly answered 15 of the first 20
\n" ); document.write( " but just 1/3 of the rest.
\n" ); document.write( "If her total score was 50%, what was q?
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\n" ); document.write( ".50q = 15 + \"1%2F3\"(q-20)
\n" ); document.write( "Multiply equation by 3, to get rid of the fraction, results:
\n" ); document.write( "3(.5q) = 3(15) + q - 20
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\n" ); document.write( "1.5q - q = 45 - 20
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\n" ); document.write( ".5q = 25
\n" ); document.write( "Multiply both sides by 2
\n" ); document.write( "q = 50
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\n" ); document.write( "Check solution
\n" ); document.write( "15 + 1/3(50 - 20) =
\n" ); document.write( "15 + 10 = 25 which is 50% of 50
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