document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124754>Question 124754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 7 bags of marbles. There are 200 marbles in total. \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( "How many marbles are in each bag?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91809 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have 7 bags of marbles. There are 200 marbles in total.<BR>\n" );
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document.write( "Change the bag numbers to letters<BR>\n" );
document.write( "bag a + bag b = 57 marbles<BR>\n" );
document.write( "bag b + bag c = 83 marbles<BR>\n" );
document.write( "bag c + bag d = 71 marbles<BR>\n" );
document.write( "bag d + bag e = 43 marbles<BR>\n" );
document.write( "bag e + bag f = 66 marbles<BR>\n" );
document.write( "bag f + bag g = 43 marbles<BR>\n" );
document.write( "How many marbles are in each bag? <BR>\n" );
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document.write( "Try to get everything in terms of a<BR>\n" );
document.write( "b = -a + 57<BR>\n" );
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document.write( "c = -b + 83<BR>\n" );
document.write( "c = -(-a+57) + 83; substitute for b<BR>\n" );
document.write( "c = +a - 57 + 83<BR>\n" );
document.write( "c = a + 26<BR>\n" );
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document.write( "d = -c + 71<BR>\n" );
document.write( "d = -(a+26) + 71; substitute for c<BR>\n" );
document.write( "d = -a - 26 + 71<BR>\n" );
document.write( "d = -a + 45<BR>\n" );
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document.write( "e = -d + 43<BR>\n" );
document.write( "e = -(-a+45) + 43; substitute d<BR>\n" );
document.write( "e = +a - 45 + 43<BR>\n" );
document.write( "e = a - 2<BR>\n" );
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document.write( "f = -e + 66<BR>\n" );
document.write( "f = -(a-2) + 66; substitute for e<BR>\n" );
document.write( "f = -a + 2 + 66<BR>\n" );
document.write( "f = -a + 68<BR>\n" );
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document.write( "g = -f + 43<BR>\n" );
document.write( "g = -(-a+68) + 43<BR>\n" );
document.write( "g = +a - 68 + 43<BR>\n" );
document.write( "g = a - 25<BR>\n" );
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document.write( "Substitute for b thru g in order = 200<BR>\n" );
document.write( "a + (-a+57) + (a+26) + (-a+45) + (a-2) + (-a+68) + (a-25) = 200<BR>\n" );
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document.write( "4a - 3a + 57 + 26 + 45 - 2 + 68 - 25 = 200<BR>\n" );
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document.write( "a + 169 = 200<BR>\n" );
document.write( "a = 200 - 169<BR>\n" );
document.write( "a = 31 marbles in bag 1<BR>\n" );
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document.write( "Find the values b thru g by substituting for a:<BR>\n" );
document.write( "b = -31 + 57 = 26 in bag 2<BR>\n" );
document.write( "c = 31 + 26 = 57 in bag 3<BR>\n" );
document.write( "d = -31 + 45 = 14 in bag 4<BR>\n" );
document.write( "e = 31 - 2 = 29 in bag 5<BR>\n" );
document.write( "f = -31 + 68 = 37 in bag 6<BR>\n" );
document.write( "g = 31 - 25 = 6 in bag 7<BR>\n" );
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document.write( "Check our solutions using the above values:<BR>\n" );
document.write( "31 + 26 + 57 + 14 + 29 + 37 + 6 = 200 total </SPAN>\n" );
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