document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=789804>Question 789804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basketball team sells tickets that cost $10, $20, and VIP seats for $30. The team has sold 452 tickets overall. It has sold 87 more $20 tickets than $10 tickets. The total sales are $7650, how many tickets of each kind have been sold?\r<BR>\n" );
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document.write( "Ive been trying to put together an equation to figure this out but I just cant seem to figure it out. Could you please explain how I would put these into an equation? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478946 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=478946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A basketball team sells tickets that cost $10, $20, and VIP seats for $30. The team has sold 452 tickets overall. It has sold 87 more $20 tickets than $10 tickets. The total sales are $7650, how many tickets of each kind have been sold?\r<BR>\n" );
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document.write( "Ive been trying to put together an equation to figure this out but I just cant seem to figure it out. Could you please explain how I would put these into an equation? Thank you!\r<BR>\n" );
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document.write( "Let number of $10 and $30 tickets sold be C, and E, respectively\r<BR>\n" );
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document.write( "Then number of $20 tickets sold = C + 87\r<BR>\n" );
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document.write( "Therefore, C + C + 87 + E = 452 ------ 2C + E = 365 ----- eq (i)\r<BR>\n" );
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document.write( "Also, 10C + 20(C + 87) + 30E = 7,650 ----- 10C + 20C + 1,740 + 30E = 7,650 ----- 30C + 30E = 5,910 ------ 30(C + E) = 30(197)<BR>\n" );
document.write( "C + E = 197 ------ eq (ii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system+%282C+%2B+E+=+365_________eq__%28i%29%2C+C+%2B+E+=+197__________eq__%28ii%29%29 ALIGN=MIDDLE  ALT=\"system+%282C+%2B+E+=+365_________eq__%28i%29%2C+C+%2B+E+=+197__________eq__%28ii%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C = 168 ------- Subtracting eq (ii) from eq (i)\r<BR>\n" );
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document.write( "C, or number of $10 tickets sold = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28168%29 ALIGN=MIDDLE  ALT=\"highlight_green%28168%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'm sure you can find the number of $20 and $30 tickets sold.\r<BR>\n" );
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document.write( "After determining them, do a check!! \r<BR>\n" );
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document.write( "Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com </SPAN>\n" );
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