document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132950>Question 132950</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618073639/algebrahomeworkh>Applied College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A ballet performance brought in $61,800 on the sale of 3000 tickets. If the tickets sold for $14 and $25, how many of each type of tickets were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97177 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=97177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: <BR>\n" );
document.write( "Total sales 61,800<BR>\n" );
document.write( "Total tickets 3000<BR>\n" );
document.write( "two type of tickets, $14 and $25\r<BR>\n" );
document.write( "\n" );
document.write( "Total sales = (total of $14) + (total of $25)  (Equation 1)\r<BR>\n" );
document.write( "\n" );
document.write( "Let x be the number of $14 tickets sold. Then the number of $25 tickets is 3000-x\r<BR>\n" );
document.write( "\n" );
document.write( "Sales for $14 tix = $14*x<BR>\n" );
document.write( "sales for $25 tix = $25*(3000-x)\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting in Equation 1 above:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61800+=+14x+%2B+25%283000-x%29+ ALIGN=MIDDLE  ALT=\"61800+=+14x+%2B+25%283000-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Yields<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61800+=+14x+%2B+75000+-+25x ALIGN=MIDDLE  ALT=\"61800+=+14x+%2B+75000+-+25x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Collecting like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-13200+=+-11x ALIGN=MIDDLE  ALT=\"-13200+=+-11x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So x = 1,200 --> we sold 1,200 $14 seats<BR>\n" );
document.write( "3000-1200 = 1800. So we sold 1800 $25 seats\r<BR>\n" );
document.write( "\n" );
document.write( "Check your answer:<BR>\n" );
document.write( "Does 61,800 = 14(1200) + 25(1800)??\r<BR>\n" );
document.write( "\n" );
document.write( "yes it does!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );