document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66211>Question 66211</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/061838670X/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A ballet performance brought in $61,800 o the sale of 3000 tickets. If the tickets sold for $14 and $25, how many of each 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 #46930 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number sold for $25<BR>\n" );
document.write( "Then 3000-x=number sold for $14\r<BR>\n" );
document.write( "\n" );
document.write( "Now we are told that the amount brought in by the sale of the $25 tickets (25x) plus the amount brought in by the sale of the $14 tickets (14(3000-x)) was $61,800.  So our equation to solve is:\r<BR>\n" );
document.write( "\n" );
document.write( "25x+14(3000-x)=61,800 simplifying we have<BR>\n" );
document.write( "25x+42,000-14x=61,800  collecting x's and subtracting 42,000 from each side:\r<BR>\n" );
document.write( "\n" );
document.write( "11x=61,800-42,000 and<BR>\n" );
document.write( "11x=19,800<BR>\n" );
document.write( "x=1800 number of $25 tickets sold\r<BR>\n" );
document.write( "\n" );
document.write( "3000-x=3000-1800=1200  number of $14 tickets sold\r<BR>\n" );
document.write( "\n" );
document.write( "ck\r<BR>\n" );
document.write( "\n" );
document.write( "1800(25)+1200(14)=61,800<BR>\n" );
document.write( "45,000+16,800=61,800<BR>\n" );
document.write( "61,800=61,800\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );