document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014371>Question 1014371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Word Problem:\r<BR>\n" );
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document.write( "A movie theater charges $7.50 admissions for and adult and $5 for a child. If 700 tickets are sold on a particular day and the total revenue received is $4500, how many tickets of each type are sold? \r<BR>\n" );
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document.write( "I need to make an equation and then solve it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630656 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is the number of adults.<BR>\n" );
document.write( "y is the number of children.\r<BR>\n" );
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document.write( "7.5x is the total amount of revenue based on x number of adults.<BR>\n" );
document.write( "5y is the total amount of revenue based on y number of children.\r<BR>\n" );
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document.write( "total number of tickets sold is 700.\r<BR>\n" );
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document.write( "equation for that is x + y = 700\r<BR>\n" );
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document.write( "total revenue is 4500.\r<BR>\n" );
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document.write( "equation for that is 7.5x + 5y = 4500\r<BR>\n" );
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document.write( "these two equations need to be solved simultensouly becsuse the same value of x and y applies to both.\r<BR>\n" );
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document.write( "equations are:\r<BR>\n" );
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document.write( "x + y = 700<BR>\n" );
document.write( "7.5x + 5y = 4500\r<BR>\n" );
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document.write( "solve for y in the first equation to get y = 700 - x<BR>\n" );
document.write( "replace y with 700 - x in the second equation to get 7.5x + 5y = 4500 becomes 7.5x + 5 * (700 - x) = 4500\r<BR>\n" );
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document.write( "solve for x in the second equation.\r<BR>\n" );
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document.write( "start with 7.5x + 5 * (700 - x) = 4500\r<BR>\n" );
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document.write( "simplify to get 7.5x + 5*700 - 5x = 4500\r<BR>\n" );
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document.write( "combine like terms and simplify to get 2.5x + 3500 = 4500\r<BR>\n" );
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document.write( "subtract 3500 from both sides of the equation to get 2.5x = 4500 - 3500\r<BR>\n" );
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document.write( "simplify to get 2.5x = 1000\r<BR>\n" );
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document.write( "divide both sides of the equation by 2.5 to get x = 1000 / 2.5\r<BR>\n" );
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document.write( "solve to get x = 400\r<BR>\n" );
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document.write( "x is the number of adult tickets.\r<BR>\n" );
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document.write( "since x + y = 700, then y = 300\r<BR>\n" );
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document.write( "you have 400 adult tickets and 300 children tickets.\r<BR>\n" );
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document.write( "400 + 300 = 700 so that's ok.\r<BR>\n" );
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document.write( "7.5 * 400 + 5 * 300 = 3000 + 1500 = 4500 so that's ok as well.\r<BR>\n" );
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document.write( "solution is 400 adult and 300 children tickets were sold.<BR>\n" );
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