document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147568>Question 147568</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.\r<BR>\n" );
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document.write( "I cannot figure how to express the information in the form of an equation. From the directions, it seems that all the information should be included in one equation, but I am at a loss. I did come up with the info below, but I am unsure if this is what is being asked. Any help would be appreciated.<BR>\n" );
document.write( "t + d = 72 columns<BR>\n" );
document.write( "6t + 9d = 480 marbles<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 #107956 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=107956\">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. \r<BR>\n" );
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document.write( "Let David have \"x\" marbles:<BR>\n" );
document.write( "Number of columns he has is x/6<BR>\n" );
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document.write( "Let Tom have \"y\" marbles:<BR>\n" );
document.write( "Number of columns he has is y/9<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "x + y = 480<BR>\n" );
document.write( "x/6 + y/9 = 72<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "3x + 2y = 18*72<BR>\n" );
document.write( "3x + 3y = 3*480<BR>\n" );
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document.write( "y = 144 (# of marbles Tom has)<BR>\n" );
document.write( "x + 144 = 480<BR>\n" );
document.write( "x = 336 (# of marbles David has)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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