document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828452>Question 828452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> tickets at a concert  cost $8 for section A and $4.25 for section B. In total 4500 tickets were sold worth $30000. How many of each type of 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 #499341 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=499341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> tickets at a concert cost $8 for section A and $4.25 for section B. In total 4500 tickets were sold worth $30000. How many of each type of ticket were sold?\r<BR>\n" );
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document.write( "Let x = # of section A tickets sold<BR>\n" );
document.write( "Let y = # of section B tickets sold\r<BR>\n" );
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document.write( "4500 tickets were sold, so x+y = 4500. Solve for y to get y = 4500-x\r<BR>\n" );
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document.write( "\"tickets at a concert cost $8 for section A and $4.25 for section B. In total 4500 tickets were sold worth $30000\" all translates to the equation below\r<BR>\n" );
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document.write( "8x + 4.25y = 30000\r<BR>\n" );
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document.write( "8x + 4.25(4500-x) = 30000 ... plug in y = 4500 - x\r<BR>\n" );
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document.write( "8x + 4.25(4500) + 4.25(-x) = 30000\r<BR>\n" );
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document.write( "8x + 19125 - 4.25x = 30000\r<BR>\n" );
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document.write( "3.75x + 19125 = 30000\r<BR>\n" );
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document.write( "3.75x = 30000 - 19125\r<BR>\n" );
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document.write( "3.75x = 10875\r<BR>\n" );
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document.write( "x = 10875/3.75\r<BR>\n" );
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document.write( "x = 2900\r<BR>\n" );
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document.write( "y = 4500 - x\r<BR>\n" );
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document.write( "y = 4500 - 2900\r<BR>\n" );
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document.write( "y = 1600\r<BR>\n" );
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document.write( "Since x = 2900 and y = 1600 this means that \r<BR>\n" );
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document.write( "<font color=\"red\">2900</font> section A tickets were sold<BR>\n" );
document.write( "<font color=\"red\">1600</font> section B tickets were sold<BR>\n" );
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