document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=545110>Question 545110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats were $28. The vendor sold $6080 in tickets. How many $36 and $28 tickets did the vendor sell? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355461 by </B><A HREF=/tutors/aboutme.mpl?userid=lmeeks54><B>lmeeks54(111)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lmeeks54><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=lmeeks54><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355461\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f = # of floor seat tickets sold<BR>\n" );
document.write( "Let s = # stadium seat tickets sold<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "total of 200 tickets sold<BR>\n" );
document.write( "floor tickets cost $36<BR>\n" );
document.write( "stadium tickets cost $28<BR>\n" );
document.write( "value of all tickets sold = $6,080<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f + s = 200<BR>\n" );
document.write( "36f + 28s = 6080<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Two equations and two unknowns.  Let's rewrite the 1st equation solving for one variable in terms of the other and then substitute that identity into the 2nd equation:<BR>\n" );
document.write( "...<BR>\n" );
document.write( "subtract s from both sides:<BR>\n" );
document.write( "f = 200 - s<BR>\n" );
document.write( "...<BR>\n" );
document.write( "substitute this into the 2nd equation:<BR>\n" );
document.write( "36(200 - s) + 28s = 6080<BR>\n" );
document.write( "...<BR>\n" );
document.write( "no we have one equation and one unknown, which we can easily solve:<BR>\n" );
document.write( "7200 - 36s + 28s = 6080<BR>\n" );
document.write( "7200 - 8s = 6080<BR>\n" );
document.write( "...<BR>\n" );
document.write( "add 8s and subtract 6080 from both sides to simplify:<BR>\n" );
document.write( "7200 - 6080 - 8s + 8s = 6080 - 6080 + 8s<BR>\n" );
document.write( "1120 = 8s<BR>\n" );
document.write( "...<BR>\n" );
document.write( "divide both sides by 8:<BR>\n" );
document.write( "s = 140, which is the # of stadium seats sold.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Let's go back to the f = 200 - s identity to find out how many floor tickets were sold:<BR>\n" );
document.write( "f = 200 - s<BR>\n" );
document.write( "f = 200 - 140<BR>\n" );
document.write( "f = 60, which is the # of floor tickets sold.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Let's check our work with the value equation:<BR>\n" );
document.write( "36f + 28s = 6080<BR>\n" );
document.write( "36(60) + 28(140) = 6080<BR>\n" );
document.write( "2160 + 3920 = 6080<BR>\n" );
document.write( "6080 = 6080 checks<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The vendor sold 60 floor tix @ $36 ea + 140 stadium tix @ $28 ea.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Lee<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );