document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316301>Question 316301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on a history exam mutilple choice questions are worth 3 points, true false are worth 2 points.  28 questions were answered correctly on the exam given a score of 77 points how many multiple choice were answered correctly and how many true false were answered correctly.  i am not sure how to set this equation up to receive an accurate answer.. i really need help.  i do  not understand word problems. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226242 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "First step, name your variables.<BR>\n" );
document.write( "Let M be the number of correct multiple choice problems and T be the number of correct true/false problems.<BR>\n" );
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document.write( "\"28 questions were answered correctly\"<BR>\n" );
document.write( "With our variables,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2BT=28 ALIGN=MIDDLE  ALT=\"M%2BT=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "\"mutilple choice questions are worth 3 points, true false are worth 2 points....score of 77 points\"<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3M%2B2T=77 ALIGN=MIDDLE  ALT=\"3M%2B2T=77\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You now have 2 equations with 2 unknowns, M and T.<BR>\n" );
document.write( "Multiply eq. 1 by (-3) and add to eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3M-3T%2B3M%2B2T=-84%2B77 ALIGN=MIDDLE  ALT=\"-3M-3T%2B3M%2B2T=-84%2B77\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-T=-7 ALIGN=MIDDLE  ALT=\"-T=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+T=7%29 ALIGN=MIDDLE  ALT=\"highlight%28+T=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then from eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2B7=28 ALIGN=MIDDLE  ALT=\"M%2B7=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+M=21%29 ALIGN=MIDDLE  ALT=\"highlight%28+M=21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Twenty one multiple questions and seven T/F questions were answered correctly.  </SPAN>\n" );
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