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 #595228 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "PART 1: QUIZ<BR>\n" );
document.write( "C=correct answers; W=wrong answers<BR>\n" );
document.write( "C+W=20<BR>\n" );
document.write( "W=20-C Use this to substitute for W.<BR>\n" );
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document.write( "3C-2W=0 Substitute for W.<BR>\n" );
document.write( "3C-2(20-C)=0<BR>\n" );
document.write( "3C-40+2C=0<BR>\n" );
document.write( "5C=40<BR>\n" );
document.write( "C=8 Jay answered 8 questions correctly.<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "W=20-C=20-8=12 Jay answered 12 questions incorrectly.<BR>\n" );
document.write( "3C-12W=0<BR>\n" );
document.write( "3(8)-2(12)=0<BR>\n" );
document.write( "24-24=0<BR>\n" );
document.write( "0=0<BR>\n" );
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document.write( "PART 2:CARDS<BR>\n" );
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document.write( "H=number of Henry's cards; G=number of Gordon's cards=3H;<BR>\n" );
document.write( "I=number of Ivan's cards=2G=6H<BR>\n" );
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document.write( "H+G+I=90 Substitute for G and I<BR>\n" );
document.write( "H+3H+6H=90<BR>\n" );
document.write( "10H=90 <BR>\n" );
document.write( "H=9 Henry had 9 cards.<BR>\n" );
document.write( "I=6H=6(9)=54 Ivan had 54 cards.<BR>\n" );
document.write( "G=3H=3(9)=27<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "H+G+I=90<BR>\n" );
document.write( "9+27+54=90<BR>\n" );
document.write( "90=90<BR>\n" );
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document.write( "I-H=54-9=45 <BR>\n" );
document.write( "ANSWER: Ivan had 45 more cards than Henry.\r<BR>\n" );
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