document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119157>Question 1119157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basketball team sells tickets that cost&#8203; $10, $20,&#8203; or, for VIP&#8203; seats,&#8203; $30. The team has sold 3357 tickets overall. It has sold 157 more&#8203; $20 tickets than&#8203; $10 tickets. The total sales are &#8203;$64 comma 64,640. How many tickets of each kind have been&#8203; sold?\r<BR>\n" );
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document.write( "# $10 tickets sold<BR>\n" );
document.write( "# $20 tickets sold<BR>\n" );
document.write( "# $30 tickets sold </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734638 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=734638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, number of $10 tickets<BR>\n" );
document.write( "y, number of $20 tickets<BR>\n" );
document.write( "z, number of $30 tickets\r<BR>\n" );
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document.write( "Exact translation of the description:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=3357%2Cy-x=157%2C10x%2B20y%2B30z=64640%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=3357%2Cy-x=157%2C10x%2B20y%2B30z=64640%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplifying the system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=3357%2C-x%2By=157%2Cx%2B2y%2B3z=6464%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=3357%2C-x%2By=157%2Cx%2B2y%2B3z=6464%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Eliminating x is easily done:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282y%2Bz=3514%2C3y%2B3z=6621%29 ALIGN=MIDDLE  ALT=\"system%282y%2Bz=3514%2C3y%2B3z=6621%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282y%2Bz=3514%2Cy%2Bz=2207%29 ALIGN=MIDDLE  ALT=\"system%282y%2Bz=3514%2Cy%2Bz=2207%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract to eliminate z:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=1307%29 ALIGN=MIDDLE  ALT=\"highlight%28y=1307%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2By=157 ALIGN=MIDDLE  ALT=\"-x%2By=157\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=-157 ALIGN=MIDDLE  ALT=\"x-y=-157\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y-157 ALIGN=MIDDLE  ALT=\"x=y-157\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1307-157 ALIGN=MIDDLE  ALT=\"x=1307-157\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=1150%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finish for z:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=3357-x-y ALIGN=MIDDLE  ALT=\"z=3357-x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=3357-1150-1307 ALIGN=MIDDLE  ALT=\"z=3357-1150-1307\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=900%29 ALIGN=MIDDLE  ALT=\"highlight%28z=900%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "checking the revenue:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A1150%2B20%2A1307%2B30%2A900 ALIGN=MIDDLE  ALT=\"10%2A1150%2B20%2A1307%2B30%2A900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64640 ALIGN=MIDDLE  ALT=\"64640\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SOLUTION:<BR>\n" );
document.write( "1150 of the $10 tickets<BR>\n" );
document.write( "1307 of the $20 tickets<BR>\n" );
document.write( "900 of the $30 tickets </SPAN>\n" );
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