document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828134>Question 828134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A movie theater sold a total of 440 tickets for $3940. Each regular ticket costs $5, each premium ticket costs $15 and each elite ticket costs $25. The number of regular tickets was 3 times the number of premium and elite tickets combined. 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 #499062 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = regular tickets<BR>\n" );
document.write( "y = premium tickets<BR>\n" );
document.write( "z = elite tickets<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y + z = 440<BR>\n" );
document.write( "5x + 15y + 25z = 3940<BR>\n" );
document.write( "x = 3(y + z)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y + z = 440<BR>\n" );
document.write( "5x + 15y + 25z = 3940<BR>\n" );
document.write( "x - 3y - 3z = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = regular tickets = 330<BR>\n" );
document.write( "y = premium tickets = 46<BR>\n" );
document.write( "z = elite tickets = 64<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "1 1 1<BR>\n" );
document.write( "5 15 25<BR>\n" );
document.write( "1 -3 -3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "0.75 0 0.25<BR>\n" );
document.write( "1 -0.1 -0.5<BR>\n" );
document.write( "-0.75 0.1 0.25<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = 40<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );