document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140215>Question 140215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are selling tickets for a high school concert. student tickets cost $4 and general admission tickets cost $6. You sell 450 tickets and collect $2340. How many of each type of ticket did you sell?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102159 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Using 2 unknowns:<BR>\n" );
document.write( "Let x=number of student tickets sold\r<BR>\n" );
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document.write( "And let y=number of general admission tickets sold\r<BR>\n" );
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document.write( "Now we are told the following:\r<BR>\n" );
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document.write( "x+y=450----------------------------------eq1<BR>\n" );
document.write( "and($ understood)<BR>\n" );
document.write( "4x+6y=2340----------------------------eq2\r<BR>\n" );
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document.write( "multiply eq1 by 4:<BR>\n" );
document.write( "4x+4y=1800------------------------------------eq1a<BR>\n" );
document.write( "subtract eq1a from eq2 and we get:\r<BR>\n" );
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document.write( "2y=540  divide boh sides by 2\r<BR>\n" );
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document.write( "y=270--------------------------number of general admission tickets sold<BR>\n" );
document.write( "Substitute y=270 into eq 1:<BR>\n" );
document.write( "x+270=450  subtract 260 from each side<BR>\n" );
document.write( "x+270-270=450-270  collect like terms<BR>\n" );
document.write( "x=180------------------------------------number of student tickets sold\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "180+270=450<BR>\n" );
document.write( "450=450<BR>\n" );
document.write( "and<BR>\n" );
document.write( "4*180+6*270=2340<BR>\n" );
document.write( "720+1620=2340<BR>\n" );
document.write( "2340=2340\r<BR>\n" );
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document.write( "Using 1 unknown<BR>\n" );
document.write( "Let x=number of student tickets sold<BR>\n" );
document.write( "Then 450-x=number of general admission tickets sold\r<BR>\n" );
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document.write( "Now we are told that:<BR>\n" );
document.write( "($ understood)<BR>\n" );
document.write( "4x+6(450-x)=2340  get rid of parens (distributive law)<BR>\n" );
document.write( "4x+2700-6x=2340  subtract 2700 from each side<BR>\n" );
document.write( "4x+2700-2700-6x=2340-2700  collect like terms\r<BR>\n" );
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document.write( "-2x=-360  divide both sides by -2<BR>\n" );
document.write( "x=180-----------------------number of student tickets sold<BR>\n" );
document.write( "450-x=450-180=270------------------number of general admission tickest sold\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
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