document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958448>Question 958448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I could get help on this problem, I would be very grateful.\r<BR>\n" );
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document.write( "The price to a child's admission to a broadway show is 50$. The price for adults is greater than 50$ but less than 500$ and is a whole number of dollars. If 70 children attend the show and the admission receipts total $28,149.00, how many adults attended?\r<BR>\n" );
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document.write( "I was thinking of setting up two linear equations and using substitution since it looks like that sort of problem, but the wording is very confusing.\r<BR>\n" );
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document.write( "thank you very much :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585763 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=585763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The price of a child's admission to a broadway show is $50. \r<BR>\n" );
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document.write( "The price for adult's admission is greater than $50 but less than $500 and is a whole number of dollars. \r<BR>\n" );
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document.write( "If 70 children attend the show and the admission receipts total $28,149.00, how many adults attended? \r<BR>\n" );
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document.write( "let x equal the price of an adult's ticket.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "70 children attended.<BR>\n" );
document.write( "the price of a child's ticket is $50.00<BR>\n" );
document.write( "the price of all the tickets sold is equal to $28,149.00<BR>\n" );
document.write( "you don't know how many adult tickets were sold.<BR>\n" );
document.write( "let's call that y.\r<BR>\n" );
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document.write( "so x is the price of an adult's ticket and y is the number of adults.\r<BR>\n" );
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document.write( "the general equation would be:\r<BR>\n" );
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document.write( "price of a child's ticket * number of children that attended plus price of an adult's ticket * number of adults that attended equals the total price of all tickets sold.\r<BR>\n" );
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document.write( "you can replace what you know in this equation to get:\r<BR>\n" );
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document.write( "50 * 70 + x * y = 28,149.00\r<BR>\n" );
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document.write( "simplify this equation to get:\r<BR>\n" );
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document.write( "3500 + x * y = 28,149.00\r<BR>\n" );
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document.write( "subtract 3500 from both sides of this equation to get:\r<BR>\n" );
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document.write( "x * y = 28,149.00 - 3,500.00\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "x * y = 24.649.00\r<BR>\n" );
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document.write( "we know that the price for adults is greater than 50 dollars but less than 500 dollars.\r<BR>\n" );
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document.write( "let's solve for y to get:\r<BR>\n" );
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document.write( "y = 24,649.00 / x\r<BR>\n" );
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document.write( "we know that x has to be between 50 and 500 dollars and we know that both y and x have to be integers.\r<BR>\n" );
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document.write( "x has to be integer because the number of adults has to be an integer.<BR>\n" );
document.write( "y has to be an integer because the number of dollars has to be an integer as we are told.\r<BR>\n" );
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document.write( "i looked for numbers that divide into 24649 evenly and couldn't come up with any.\r<BR>\n" );
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document.write( "i then resorted to cheating by looking online to see if 24649 was prime or not.\r<BR>\n" );
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document.write( "it wasn't and online told me that it was divisible by 157.\r<BR>\n" );
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document.write( "that's your answer.\r<BR>\n" );
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document.write( "i graphed the equation so you could see.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/032502.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "i would like to think there was an easier way to find it but wasn't able to.\r<BR>\n" );
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document.write( "still, you have an answer, even though i had to go through hoops to get it.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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