document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098165>Question 1098165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a performance of a local play, 375 tickets were sold. The price of a ticket on the floor was 25$ and a balcony ticket went for 21$. If the total revenue was 8875$, how many of each kind 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 #712570 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<U>1 - the system of 2 equations</U>\r<BR>\n" );
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document.write( "F + B = 375,          (1)    (counting seats)\r\n" );
document.write( "25*F + 21*B = 8875.   (2)    (counting money)\r\n" );
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document.write( "To solve it, express F = 375 - B from (1) and substitute into (2). You will get\r\n" );
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document.write( "a single equation for one unknown B:\r\n" );
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document.write( "25*(375 - B) + 21*B = 8875.     (3)\r\n" );
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document.write( "Simplify and solve for B.\r\n" );
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document.write( "When you find B, calculate F from (1).\r\n" );
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document.write( "<U>2 - One equation</U>\r<BR>\n" );
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document.write( "Let B be the number of the Balcony seats.\r\n" );
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document.write( "Then the number of the Floor seats is (375-B).\r\n" );
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document.write( "The \"money\" equation is\r\n" );
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document.write( "25*(375 - B) + 21*B = 8875,\r\n" );
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document.write( "exactly as (3).\r\n" );
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document.write( "If you want to see more solved problems of this type, look into the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-Tickets.lesson>Using systems of equations to solve problems on tickets</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook under the topic \"<U>Systems of two linear equations in two unknowns</U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-I\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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