document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972966>Question 972966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jay took a quiz with 20 question. For every correct answer, he was awarded 3 points .for every wrong answer,2 points were deducted. If jay scored zero points for the quiz, how many questions did jay answer correctly?\r<BR>\n" );
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document.write( "Gordon had 3 times as many picture cards as hennery. Ivan had twice as many picture cards as Gordon. If they had a total of 90 picture cards, how many more picture cards did Ivan have than henry?\r<BR>\n" );
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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 #595223 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started.\r<BR>\n" );
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document.write( "Problem: <font color=\"blue\">jay took a quiz with 20 question. For every correct answer, he was awarded 3 points .for every wrong answer,2 points were deducted. If jay scored zero points for the quiz, how many questions did jay answer correctly?</font>\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "x = number of correct answers<BR>\n" );
document.write( "y = number of incorrect answers\r<BR>\n" );
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document.write( "There are 20 questions total, so x+y = 20. Solve for y to get y = 20-x\r<BR>\n" );
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document.write( "He gets 3 points per correct question and loses 2 points for each one he gets wrong. So in total, he has 3x+(-2y) = 3x-2y points. At the end of the day, he scored 0 points, which means we know 3x-2y = 0\r<BR>\n" );
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document.write( "Use the two equations to solve for x\r<BR>\n" );
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document.write( "3x-2y = 0<BR>\n" );
document.write( "3x-2(20-x) = 0 ... replace y with 20-x<BR>\n" );
document.write( "3x-40+2x = 0<BR>\n" );
document.write( "5x-40 = 0<BR>\n" );
document.write( "5x = 40<BR>\n" );
document.write( "x = 40/5<BR>\n" );
document.write( "x = 8\r<BR>\n" );
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document.write( "Use this to find y\r<BR>\n" );
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document.write( "y = 20-x<BR>\n" );
document.write( "y = 20-8 ... plug in x = 8<BR>\n" );
document.write( "y = 12\r<BR>\n" );
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document.write( "Therefore, x = 8 and y = 12\r<BR>\n" );
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document.write( "Recall above that I made \"x = number of correct answers\", so because x = 8, this means Jay got 8 questions correct.\r<BR>\n" );
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document.write( "Question: <font color=\"blue\">If jay scored zero points for the quiz, how many questions did jay answer correctly? </font><BR>\n" );
document.write( "Answer: <font color=\"red\">8 questions</font> (12 questions incorrectly)<BR>\n" );
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