document.write( "Question 56207: Could you please make a system for this word problem. On a college entrance exam, each correct answer adds one point to your raw score, each unanswered question adds nothing and each incorrect answer subtracts 1/4 point. You answer 82 out of 85 questions for a raw score of 67. How many questions did you answer correctly? Thank you.
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Algebra.Com's Answer #38129 by stanbon(75887) $\"\"$ $\"About$

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Could you please make a system for this word problem. On a college entrance exam, each correct answer adds one point to your raw score, each unanswered question adds nothing and each incorrect answer subtracts 1/4 point. You answer 82 out of 85 questions for a raw score of 67. How many questions did you answer correctly? Thank you.
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\n" ); document.write( "You didn't answer 3 questions which adds nothing to your score.
\n" ); document.write( "Let number of correct answers of the 82 be \"x\"
\n" ); document.write( "Number of points for those correct answers is x points.
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\n" ); document.write( "Number of incorrect answers of the 82 is \"82-x\"
\n" ); document.write( "Number of points for those incorrect answers is (-1/4)(82-x)=(-41/2)+(1/4)x
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\n" ); document.write( "EQUATION:
\n" ); document.write( "points gained + points lost = 67
\n" ); document.write( "x -41/2 + (1/4)x= 67
\n" ); document.write( "(5/4)x = 87.5
\n" ); document.write( "x=70 (number of correct answers)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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