document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189537>Question 189537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Adult tickets for a play cost $25 each and children'ts tickets cost $15 each. The total receipts were $7200 and the total attendance ws 400. How many adults and how many children attended? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142210 by </B><A HREF=/tutors/aboutme.mpl?userid=feliz1965><B>feliz1965(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=feliz1965><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=142210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = adult tickets\r<BR>\n" );
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document.write( "Let c = children tickets\r<BR>\n" );
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document.write( "Then a + c = 400....This is one equation.\r<BR>\n" );
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document.write( "The second equation is 25a + 15c = 7200.\r<BR>\n" );
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document.write( "We have a system of linear equations in two variables.\r<BR>\n" );
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document.write( "a + c = 400<BR>\n" );
document.write( "25a + 15c = 7200\r<BR>\n" );
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document.write( "Can you solve it now?\r<BR>\n" );
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document.write( "I suggest using the substitution method which far easier than any other method.\r<BR>\n" );
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document.write( "I got your reply.<BR>\n" );
document.write( "Let a = adult tickets <BR>\n" );
document.write( "Let c = children tickets <BR>\n" );
document.write( "Then a + c = 400....This is one equation. <BR>\n" );
document.write( "The second equation is 25a + 15c = 7200. <BR>\n" );
document.write( "We have a system of linear equations in two variables. \r<BR>\n" );
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document.write( "a + c = 400...Equation A<BR>\n" );
document.write( "25a + 15c = 7200 \r<BR>\n" );
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document.write( "I will solve for a in Equation A.\r<BR>\n" );
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document.write( "a = 400 - c\r<BR>\n" );
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document.write( "I will now plug 400 - c into Equation B for a.\r<BR>\n" );
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document.write( "25(400 - c) + 15c = 7200\r<BR>\n" );
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document.write( "10000 - 25c + 15c = 7200\r<BR>\n" );
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document.write( "-10c = 7200 - 10000\r<BR>\n" );
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document.write( "-10c = -2800\r<BR>\n" );
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document.write( "c = -2800/-10\r<BR>\n" );
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document.write( "c = 280 tickets\r<BR>\n" );
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document.write( "The number of children tickets is 280.\r<BR>\n" );
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document.write( "To find the number of adult tickets, we plug 280 for c into EITHER Equation A or Equation B (your choice).\r<BR>\n" );
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document.write( "I will use Equation A.\r<BR>\n" );
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document.write( "a + c = 400\r<BR>\n" );
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document.write( "a + 280 = 400\r<BR>\n" );
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document.write( "a = 400 - 280\r<BR>\n" );
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document.write( "a = 120\r<BR>\n" );
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document.write( "The number of adult tickets is 120.\r<BR>\n" );
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document.write( "Understand?\r<BR>\n" );
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document.write( "NOTE: The number of children tickets cannot be 250.  The correct answer is 280.\r<BR>\n" );
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document.write( "HERE IS THE PROVE:\r<BR>\n" );
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document.write( "adult tickets = 120 x $25 each = $3000\r<BR>\n" );
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document.write( "children tickets = 280 x $15 each = $4200\r<BR>\n" );
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document.write( "Together = $3000 + $4200 = $7200\r<BR>\n" );
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