document.write( "Question 751963: In an examination a student scores 1 mark for each correct answer and 0.25marks are deducted for each wrong answer. If he attempts all 120 questions and secures 90 marks the number of question he attempts correctly is? \n" ); document.write( "
Algebra.Com's Answer #457483 by tommyt3rd(5050)![]() ![]() You can put this solution on YOUR website! Assuming 90 marks is a score (and not a percentage)\r \n" ); document.write( "\n" ); document.write( "R-right answers \n" ); document.write( "W-wrong\r \n" ); document.write( "\n" ); document.write( "Total questions: R+W=120\r \n" ); document.write( "\n" ); document.write( "Score: R-0.25W=90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "System\r \n" ); document.write( "\n" ); document.write( "R+W=120 \n" ); document.write( "R-0.25W=90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtracting equations leads to\r \n" ); document.write( "\n" ); document.write( "(R+W)-(R-0.25W)=120-90\r \n" ); document.write( "\n" ); document.write( "then\r \n" ); document.write( "\n" ); document.write( "1.25W=30\r \n" ); document.write( "\n" ); document.write( "W=24\r \n" ); document.write( "\n" ); document.write( "so that R=120-24=96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "96 correct\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( " |