document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012744>Question 1012744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are a total of 23 students and adults going to the zoo.  Adult tickets cost $7.25 and student tickets cost $5.50 to attend the zoo.  The total cost for this group would be $137. <BR>\n" );
document.write( "Requirements:<BR>\n" );
document.write( "Write two equations and put them into a matrix, then solve by using determinants.<BR>\n" );
document.write( "What is the system determinant, x determinant, and y determinant?<BR>\n" );
document.write( "When writing your equations, let x = number of adult tickets and y = number of student tickets.<BR>\n" );
document.write( "How many students went?  How many adults went? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628839 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Adults: x<BR>\n" );
document.write( "Students: y<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "x+y = 23 and therefore the adults are 23-y, so<BR>\n" );
document.write( "x = 23-y (if you want to express it algebraically, \"subtract y, both sides)<BR>\n" );
document.write( "7.25x+5.50y = 137 Let's substitute for x<BR>\n" );
document.write( "7.25(23-y)+5.50y = 137 Multiply on left to eliminate parenthesis:<BR>\n" );
document.write( "166.75-7.25y+5.50y = 137 Add/subtract y on left and subtract 166.75 on both sides:<BR>\n" );
document.write( "-1.75y = -29.75 Divide both sides by -1.75 (and remember that -/- = +)<BR>\n" );
document.write( "y = 17 This is how many students went. And we said that:<BR>\n" );
document.write( "x= 23-y<BR>\n" );
document.write( "x= 23-17<BR>\n" );
document.write( "x= 6 adults also went<BR>\n" );
document.write( "J </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );