document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416972>Question 416972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> coin collector had 6 coins for sale <BR>\n" );
document.write( "one he price @15,16,18,19,20,31 he sold all but one of the coins <BR>\n" );
document.write( "to 2 people one payinng 2xs as much as the other one <BR>\n" );
document.write( "which coin did he keep </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292019 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I just tried every single number that could be the one left out<BR>\n" );
document.write( "First I let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the amount one person paid and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "amount other person paid. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2x+=+3x ALIGN=MIDDLE  ALT=\"x+%2B+2x+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the sum of <BR>\n" );
document.write( "what they bought must be divisible by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The only way I could arrive at this is if the coin costing 20<BR>\n" );
document.write( "is left out. Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15+%2B+16+%2B+18+%2B+19+%2B+31+=+99 ALIGN=MIDDLE  ALT=\"15+%2B+16+%2B+18+%2B+19+%2B+31+=+99\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so if<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2x+=+99 ALIGN=MIDDLE  ALT=\"x+%2B+2x+=+99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+99 ALIGN=MIDDLE  ALT=\"3x+=+99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+33 ALIGN=MIDDLE  ALT=\"x+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1 person bought 33 worth of coins<BR>\n" );
document.write( "The other bought 66 worth<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15+%2B+18+=+33 ALIGN=MIDDLE  ALT=\"15+%2B+18+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+%2B+19+%2B+31+=+66+ ALIGN=MIDDLE  ALT=\"+16+%2B+19+%2B+31+=+66+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, he kept the coin costing 20 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );