document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84858>Question 84858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 7 bags of marbles. There are 200 marbles in total. Using the clues below, work out how many marbles are in each bag.\r<BR>\n" );
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document.write( "Bag 1 + Bag 2 = 57 marbles<BR>\n" );
document.write( "Bag 2 + Bag 3 = 83 marbles<BR>\n" );
document.write( "Bag 3 + Bag 4 = 71 marbles<BR>\n" );
document.write( "Bag 4 + Bag 5 = 43 marbles<BR>\n" );
document.write( "Bag 5 + Bag 6 = 66 marbles<BR>\n" );
document.write( "Bag 6 + Bag 7 = 43 marbles\r<BR>\n" );
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document.write( "Thank you so much for your help. I tried to figure this out but came to no avail. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61147 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What you have here is 7 equations and 7 unknowns, unless someone sees a faster way to do this!!\r<BR>\n" );
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document.write( "Let the 7 variables be x1, x2, x3, x4, x5, x6, and x7 respectively.  \r<BR>\n" );
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document.write( "Now, here are the equations:<BR>\n" );
document.write( "x1+ x2+ x3+ x4+ x5+ x6+x7=200<BR>\n" );
document.write( "x1+x2=57<BR>\n" );
document.write( "x2+x3=83<BR>\n" );
document.write( "x3+x4=71<BR>\n" );
document.write( "x4+x5=43<BR>\n" );
document.write( "x5+x6=66<BR>\n" );
document.write( "x6+x7=43 \r<BR>\n" );
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document.write( "If you have a graphing calculator, like a TI85, 86, 83+, or 84, you may have a program that will solve this system called [SIMLT] or perhaps [POLYSMLT].  \r<BR>\n" );
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document.write( "If you don't have a calculator, then try getting everything in terms of x1.  Do this by starting with <BR>\n" );
document.write( "x2 =57-x1\r<BR>\n" );
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document.write( "Then <BR>\n" );
document.write( "x3 = 83-x2<BR>\n" );
document.write( "x3=83-(57-x1) <BR>\n" );
document.write( "x3=26+x1\r<BR>\n" );
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document.write( "Next, <BR>\n" );
document.write( "x4= 71-x3<BR>\n" );
document.write( "x4=71-(26+x1)<BR>\n" );
document.write( "x4=45-x1\r<BR>\n" );
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document.write( "x5=43-x4<BR>\n" );
document.write( "x5=43-(45-x1)<BR>\n" );
document.write( "x5=-2+x1\r<BR>\n" );
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document.write( "x6=66-x5<BR>\n" );
document.write( "x6=66-(-2+x1)<BR>\n" );
document.write( "x6=68-x1\r<BR>\n" );
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document.write( "x7=43-x6<BR>\n" );
document.write( "x7=43-(68-x1)<BR>\n" );
document.write( "x7=-25+x1\r<BR>\n" );
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document.write( "Now,<BR>\n" );
document.write( "x1+ x2+ x3+ x4+ x5+ x6+x7=200<BR>\n" );
document.write( "x1+(57-x1)+(26+x1)+(45-x1)+(-2+x1)+(68-x1)+(-25+x1)=200<BR>\n" );
document.write( "x1+169=200<BR>\n" );
document.write( "x1=31<BR>\n" );
document.write( "x2=26<BR>\n" );
document.write( "x3=57<BR>\n" );
document.write( "x4=14<BR>\n" );
document.write( "x5=29<BR>\n" );
document.write( "x6=37<BR>\n" );
document.write( "x7=6\r<BR>\n" );
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document.write( "That should do it!!!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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