document.write( "Question 236347: on a 100-questions test, 60 questions involve algebra and 20 questions are difficult. if 8 of the difficult questions involve algebra , how many of the questions that are not difficult do not involve algebra?\r
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document.write( "a) 92 b) 80 c) 52 d) 28 e)12 \n" );
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Algebra.Com's Answer #173992 by Theo(13342)![]() ![]() You can put this solution on YOUR website! total questions = 100 \n" ); document.write( "algebra questions = 60 \n" ); document.write( "difficult questions = 20 \n" ); document.write( "difficult algebra questions = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if algebra questions = 60, then non-algebra questions = 40 because 60 + 40 = 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if difficult algebra questions = 8, then difficult non-algebra questions = 12 because 8 + 12 = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total non-algebra questions = 40 \n" ); document.write( "difficult non-algebra questions = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "non-algebra questions that are not difficult are therefore 40-12 = 28.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "28 non-algebra questions that are not difficult \n" ); document.write( "12 non-algebra questions that are difficult \n" ); document.write( "52 algebra questions that are not difficult \n" ); document.write( "8 algebra questions that are difficult.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total is 28 + 12 + 52 + 8 = 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total number of questions that are difficult = 8 + 12 = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total number of questions that are not difficult = 28 + 52 = 80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |