document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062877>Question 1062877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help with the following problem please?<BR>\n" );
document.write( "On a college entrance exam, you answered 80 of 85 questions. Each correct answer adds 1 point to your raw score, each unanswered question adds nothing, and each incorrect answer subtracts 1/4 point. Your raw score was 70. How many questions did you answer correctly?\r<BR>\n" );
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document.write( "What I did was set up a table with x being the number of correct questions with a value of 1, then a row for wrong questions giving that the variable of y, with a value of -0.25. The column of variables x + y was equal to 80, the total number of questions answered. The 85 was irrelevant since no points were added or subtracted for unanswered questions. So equation 1 is x + y = 80. The second equation I made was from the totals column which was x times 1, plus y times -0.25 equals 70, the raw score. I then solved equation 1 x+y = 80 for x. X = 80 - y. Then I used the second formula (x * 1)+ (y * (-0.25)) = 70 and tried to solve substituting the value 80-y for x from the first equation. I cannot make a go of it from here. Am I using the wrong method to set this up?<BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677867 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let c be your correct answers, and i be your incorrect answers. Then:<BR>\n" );
document.write( "c + i=80<BR>\n" );
document.write( "c-.25i=70<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "4c-i = 280<BR>\n" );
document.write( "c + i=80<BR>\n" );
document.write( "Adding them, we get:<BR>\n" );
document.write( "5c=360<BR>\n" );
document.write( "c=72<BR>\n" );
document.write( "You answered 72 questions correctly, and 8 questions incorrectly. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
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