document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13556>Question 13556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is a problem I can't figure out for the lifeof me. Museum charges $10 for regular admission, $7 for members, and $5 for students. Saturday, 750 tickets were sold for $5400. If 20 more student tickets than regular tickets were sold, how many of each type of ticket were sold?<BR>\n" );
document.write( "This is what I was trying to do:<BR>\n" );
document.write( "10x+7y+5s+(x+20)=750<BR>\n" );
document.write( "I am just not sure if you would have to figure out, oh never mind, I am not understanding what to do. Please help me. Thank you!!!!!!!!  :( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6959 by </B><A HREF=/tutors/aboutme.mpl?userid=LilSkittleMd><B>LilSkittleMd(119)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LilSkittleMd><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=6959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let r=regular<BR>\n" );
document.write( "s=student<BR>\n" );
document.write( "m=member<BR>\n" );
document.write( "There are 3 different equations in this problem.<BR>\n" );
document.write( "r+m+s=750 (equation 1)<BR>\n" );
document.write( "r+0m-s=-20 (equation 2)<BR>\n" );
document.write( "10r+7m+5s=5400 (equation 3)<BR>\n" );
document.write( "First take the first two equations, use the elimination method to eliminate one variable. Eliminate r<BR>\n" );
document.write( "-10r-10m-10s=-7500<BR>\n" );
document.write( "10r+7m+5s=5400 (equation 4)<BR>\n" );
document.write( "Now take the first and third equations and use the same method and eliminate the same variable<BR>\n" );
document.write( "-r-m-s=-750<BR>\n" );
document.write( "r+0m-s=-20<BR>\n" );
document.write( "-m-2s=-770 (equation 5)<BR>\n" );
document.write( "Take equation 4 and equation 5, use the same method, and eliminate one of the remaining variables<BR>\n" );
document.write( "3m+6s=2310<BR>\n" );
document.write( "-3m-5s=-2100<BR>\n" );
document.write( "s=210<BR>\n" );
document.write( "plug in the value of s into either equation 4 or 5<BR>\n" );
document.write( "-m-2(210)=-770<BR>\n" );
document.write( "-m-420=-770<BR>\n" );
document.write( "-m=-350<BR>\n" );
document.write( "m=350<BR>\n" );
document.write( "Now take the m and s values and plug them into one of the 3 original equations<BR>\n" );
document.write( "r+350+210=750<BR>\n" );
document.write( "r+560=720<BR>\n" );
document.write( "r=190<BR>\n" );
document.write( "There were 190 regular tickets sold,350 member tickets sold,and 210 student tickets sold<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );