document.write( "Question 823477: a test has 36 questions worth a total of 100 points. the test consists of true/false questions worth 2 points each. and multiple choice questions worth 4 points each.\r
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document.write( " how many of each type of questions are on the test?
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Algebra.Com's Answer #495534 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a test has 36 questions worth a total of 100 points. the test consists of true/false questions worth 2 points each. and multiple choice questions worth 4 points each. \r \n" ); document.write( "\n" ); document.write( "how many of each type of questions are on the test? \n" ); document.write( "--------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity:: t + m = 36 questions \n" ); document.write( "Points Eq: 2t +4m = 100 \n" ); document.write( "------ \n" ); document.write( "Modify for elimination:: \n" ); document.write( "2t + 2m = 72 \n" ); document.write( "2t + 4m = 100 \n" ); document.write( "---- \n" ); document.write( "Subtract and solve for \"m\": \n" ); document.write( "2m = 28 \n" ); document.write( "m = 14 (# of multiple-choice questions) \n" ); document.write( "----- \n" ); document.write( "Solve for \"t\": \n" ); document.write( "t + m = 36 \n" ); document.write( "t + 14 = 36 \n" ); document.write( "t = 22 (# of true/false questions) \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |