document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92237>Question 92237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom and David have 480 marbles between them.  Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column.  The total number of columns is 72.  Express the above information in the form of an algebraic equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67076 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=67076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tom and David have 480 marbles between them. Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.<BR>\n" );
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document.write( "Let T be the number of Tom's columns:<BR>\n" );
document.write( "Then 6T is the number of marbles Tom has.<BR>\n" );
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document.write( "Let D be the number of Dave's columns:<BR>\n" );
document.write( "Then 9D is the number of marbles Dave has.<BR>\n" );
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document.write( "6T+9D=480<BR>\n" );
document.write( "D+T = 72<BR>\n" );
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document.write( "Solve the 2nd equation for D to get: <BR>\n" );
document.write( "D = 72-T<BR>\n" );
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document.write( "Substitute into the 1st equation to solve for T<BR>\n" );
document.write( "6T+9(72-T) = 480<BR>\n" );
document.write( "6T+648-9T = 480<BR>\n" );
document.write( "-3T = - 168<BR>\n" );
document.write( "T = 56 (Tom has 56 columns)<BR>\n" );
document.write( "D+56=72<BR>\n" );
document.write( "D= 16 (Dave has 16 columns)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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