document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208613>Question 1208613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets to a local movie were sold for $6.00 for adults and $4.50 for students. If 276 tickets were sold for a total of $1632.00, how many student 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 #846984 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "x = # of adult tickets<BR>\n" );
document.write( "y = # of student tickets<br><BR>\n" );
document.write( "The given information gives us these two equations:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=276 ALIGN=MIDDLE  ALT=\"x%2By=276\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the total number of tickets sold was 276<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4.50y=1632 ALIGN=MIDDLE  ALT=\"6x%2B4.50y=1632\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the total cost of the tickets, at $6 each for adults and $4.50 each for students, was $1632<br><BR>\n" );
document.write( "In both of the responses you have received from other tutors, the solution of the problem is set up using substitution -- solving the first equation for either x or y and substituting in the second.<br><BR>\n" );
document.write( "When both equations are given in this \"ax+by=c\" form, I think a solution using elimination is easier.<br><BR>\n" );
document.write( "Multiply the first equation by 6 so that both equations contain the term \"6x\":<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B6y=1656 ALIGN=MIDDLE  ALT=\"6x%2B6y=1656\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4.5y=1632 ALIGN=MIDDLE  ALT=\"6x%2B4.5y=1632\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now subtract the second equation from the first, eliminating variable x, and solve the resulting equation for y:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5y=24 ALIGN=MIDDLE  ALT=\"1.5y=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=24%2F1.5=16 ALIGN=MIDDLE  ALT=\"y=24%2F1.5=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number of student tickets sold was y = 16.<br><BR>\n" );
document.write( "ANSWER: 16<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "The number of student tickets was 16, so the number of adult tickets was 276-16 = 260.<BR>\n" );
document.write( "260(6)+16(4.5)=1560+72=1632<br>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );