document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356334>Question 356334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the band concert,students tickets cost $2 and adult tickets cost $5.a total of  200 tickets  were sold . If the total sales were  more than $500 , what was the minimum number of adult tickets  sold ?\r<BR>\n" );
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document.write( "A   30   B  33   C  34   D  40  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254411 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=254411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the band concert,students tickets cost $2 and adult tickets cost $5.a total of 200 tickets were sold . If the total sales were more than $500 , what was the minimum number of adult tickets sold ? \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a+%2B+s+=+200%2C%0D%0A2s+%2B+5a+%3E+500%29 ALIGN=MIDDLE  ALT=\"system%28a+%2B+s+=+200%2C%0D%0A2s+%2B+5a+%3E+500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We'll start out pretending that the total sales were exactly $500 (as though<BR>\n" );
document.write( "fractions of people could by fractions of tickets:\r<BR>\n" );
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document.write( "So we solve this system:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a+%2B+s+=+200%2C%0D%0A2s+%2B+5a+=+500%29 ALIGN=MIDDLE  ALT=\"system%28a+%2B+s+=+200%2C%0D%0A2s+%2B+5a+=+500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F3 ALIGN=MIDDLE  ALT=\"500%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=166%262%2F3 ALIGN=MIDDLE  ALT=\"166%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > student tickets and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3 ALIGN=MIDDLE  ALT=\"100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33%261%2F3 ALIGN=MIDDLE  ALT=\"33%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But they must be whole numbers not fractions. So we try \r<BR>\n" );
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document.write( "s = 166 and a = 33  <BR>\n" );
document.write( "s = 166 and a = 34<BR>\n" );
document.write( "s = 167 and a = 33<BR>\n" );
document.write( "s = 167 and a = 34\r<BR>\n" );
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document.write( "to see which gives the minimum amount over $500\r<BR>\n" );
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document.write( "s = 166 and a = 33, 2s + 5a = $492, not enough  <BR>\n" );
document.write( "s = 166 and a = 34, 2s + 5a = $502, may be the minimum<BR>\n" );
document.write( "s = 167 and a = 33, 2s + 5a = $499, not enough<BR>\n" );
document.write( "s = 167 and a = 34, 2s + 5a = $504, so $502 is the minimum\r<BR>\n" );
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document.write( "To exceed $500, minimum is when 166 student tickets, and 34 adult tickets are sold.\r<BR>\n" );
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document.write( "Answer: 34 is the minimum number of adult tickets that could be sold<BR>\n" );
document.write( "and the intake be more than $500. \r<BR>\n" );
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document.write( "Edwin</pre><BR>\n" );
document.write( "  </SPAN>\n" );
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