document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935070>Question 935070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A theater sold 160 children’s tickets and 90 adult tickets. If the theater made $1,600 from the sales of the tickets, what were the prices of each ticket? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568191 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=568191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c for price of child ticket, g for price of grownup ticket.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160c%2B90g=1600 ALIGN=MIDDLE  ALT=\"160c%2B90g=1600\"   DISABLED_style= \"max-width:90%; height:auto;\" > accounting for sales revenue.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16c%2B9g=160 ALIGN=MIDDLE  ALT=\"16c%2B9g=160\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and expect that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%3Cg ALIGN=MIDDLE  ALT=\"c%3Cg\"   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=16c=-9g%2B160 ALIGN=MIDDLE  ALT=\"16c=-9g%2B160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-%289%2F16%29g%2B10 ALIGN=MIDDLE  ALT=\"c=-%289%2F16%29g%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "substitute into the inequality:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%289%2F16%29g%2B10%3Cg ALIGN=MIDDLE  ALT=\"-%289%2F16%29g%2B10%3Cg\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%3Cg%2B%289%2F16%29g ALIGN=MIDDLE  ALT=\"10%3Cg%2B%289%2F16%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%3C16g%2B9g ALIGN=MIDDLE  ALT=\"160%3C16g%2B9g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%3C25g ALIGN=MIDDLE  ALT=\"160%3C25g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%3E160%2F25 ALIGN=MIDDLE  ALT=\"g%3E160%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%3E32%2F5 ALIGN=MIDDLE  ALT=\"g%3E32%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is $6.40. This is a lower boundary for adult ticket price.\r<BR>\n" );
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document.write( "Now solve the equation for g instead; <i>MAYBE</i> it would help further(?).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9g=160-16c ALIGN=MIDDLE  ALT=\"9g=160-16c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=160%2F9-%2816%2F9%29c ALIGN=MIDDLE  ALT=\"g=160%2F9-%2816%2F9%29c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "substitute to the inequality,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%3Cg ALIGN=MIDDLE  ALT=\"c%3Cg\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%3C160%2F9-%2816%2F9%29c ALIGN=MIDDLE  ALT=\"c%3C160%2F9-%2816%2F9%29c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9c%3C160-16c ALIGN=MIDDLE  ALT=\"9c%3C160-16c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9c%2B16c%3C160 ALIGN=MIDDLE  ALT=\"9c%2B16c%3C160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25c%3C160 ALIGN=MIDDLE  ALT=\"25c%3C160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%3C160%2F25 ALIGN=MIDDLE  ALT=\"c%3C160%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the same boundary as for adult price, but just in the other direction.\r<BR>\n" );
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document.write( "As finely grained as you can find solutions, the ticket prices MUST be in whole penny quantities, including 0.  Children's tickets are priced as BELOW $6.40, and adult tickets are HIGHER than $6.40.  Several solutions to the two dimensional problem are possible as long as you take perfect hundredth of a dollar accuracy. </SPAN>\n" );
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