document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825220>Question 825220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [ Tickets to a football match cost $8, $15 or $20 each. The number of $15 tickets sold was double the number of $8 tickets sold. 6000 more $20 tickets were sold than $15 tickets. If the gate receipts totaled $783000 how many of each type ticket 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 #497123 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=497123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = $8 tickets<BR>\n" );
document.write( "y = $15 tickets<BR>\n" );
document.write( "z = $20 tickets<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = 2x<BR>\n" );
document.write( "z = y + 6000<BR>\n" );
document.write( "8x + 15y + 20z = 783000<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( "2x - y = 0<BR>\n" );
document.write( "y - z = -6000<BR>\n" );
document.write( "8x + 15y + 20z = 783000<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 = $8 tickets = 8500<BR>\n" );
document.write( "y = $15 tickets = 17000<BR>\n" );
document.write( "z = $20 tickets = 23000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "2 -1 0<BR>\n" );
document.write( "0 1 -1<BR>\n" );
document.write( "8 15 20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "0.44871795 0.25641026 0.012820513<BR>\n" );
document.write( "-0.1025641 0.51282051 0.025641026<BR>\n" );
document.write( "-0.1025641 -0.48717949 0.025641026<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = 78<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" );