document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118007>Question 118007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> El Segundo High School put on their annual musical. the students sold 650 tickets for a value of $4375. If orchestra seats cost $7.50 and balcony seats cost $3.50, how many of each kind of seats 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 #86046 by </B><A HREF=/tutors/aboutme.mpl?userid=misscrt><B>misscrt(37)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=misscrt><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=86046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> El Segundo High School put on their annual musical. the students sold 650 tickets for a value of $4375. If orchestra seats cost $7.50 and balcony seats cost $3.50, how many of each kind of seats were sold?<BR>\n" );
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document.write( "Let X= # of orchestra seats<BR>\n" );
document.write( "    Y= # of balcony seats\r<BR>\n" );
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document.write( "X+Y = 650 (Equation 1)\r<BR>\n" );
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document.write( "Next, write an equation for the cost of the seats...You were given that the total value of tickets sold was $4375.\r<BR>\n" );
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document.write( "So, the second equation will be:\r<BR>\n" );
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document.write( "7.50X + 3.50Y = 4375 (Equation 2)\r<BR>\n" );
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document.write( "Solve (1) for X:  \r<BR>\n" );
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document.write( "X = 650-Y  (Equation 3)\r<BR>\n" );
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document.write( "Plug this expression into (2) and solve for Y:\r<BR>\n" );
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document.write( "7.50(650-Y) + 3.50Y = 4375\r<BR>\n" );
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document.write( "4875 - 7.50Y + 3.50Y = 4375\r<BR>\n" );
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document.write( "4875 - 4.00Y = 4375\r<BR>\n" );
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document.write( "4875 -4875 -4.00Y = 4375 -4875\r<BR>\n" );
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document.write( "-4.00Y = -400\r<BR>\n" );
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document.write( "Y = -400/-4.00\r<BR>\n" );
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document.write( "Y= 100\r<BR>\n" );
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document.write( "There were 100 balcony seats sold. To find the number of orchestra seats sold simply use equation 3:\r<BR>\n" );
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document.write( "X = 650-100 = 550\r<BR>\n" );
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document.write( "Hope this helps.<BR>\n" );
document.write( "Greetings,<BR>\n" );
document.write( "misscrt<BR>\n" );
document.write( "  </SPAN>\n" );
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