document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132933>Question 132933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The creekside Theater is putting on a play.The hanson Family bought 5 adult ticketsand 2 child tickets for 129.00. The Rivera family bought 2 adult tickets and 6 cgild Tickets for 107.50.\r<BR>\n" );
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document.write( "Write a system of equations to represent the situation.\r<BR>\n" );
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document.write( "Then solve the system.How much Does a Adult ticket cost and how much does a child ticket cost. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97191 by </B><A HREF=/tutors/aboutme.mpl?userid=nycsharkman><B>nycsharkman(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nycsharkman><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=97191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Creekside Theater is putting on a play. The Hanson family bought 5 adult tickets and 2 children tickets for 129.00. The Rivera family bought 2 adult tickets and 6 children Tickets for 107.50.\r<BR>\n" );
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document.write( "(A) Write a system of equations to represent the situation.\r<BR>\n" );
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document.write( "(B) Then solve the system.  \r<BR>\n" );
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document.write( "(C) How much Does a Adult ticket cost and how much does a child ticket cost.\r<BR>\n" );
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document.write( "Let x = adult ticket\r<BR>\n" );
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document.write( "Let y = children ticket\r<BR>\n" );
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document.write( "We have a system of linear equations in two variables, the variables being x and y.\r<BR>\n" );
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document.write( "5x + 2y = 129.....Equation A\r<BR>\n" );
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document.write( "2x + 6y = 107.50...Equation B\r<BR>\n" );
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document.write( "The two equations above answer Part (A) of this question.\r<BR>\n" );
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document.write( "Part (B)\r<BR>\n" );
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document.write( "Solve the equation.\r<BR>\n" );
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document.write( "Let's use the addition method.\r<BR>\n" );
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document.write( "I want to do away with y and so, to do that I will multiply Equation A by -3.\r<BR>\n" );
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document.write( "Doing so, Equation A becomes:  -15x - 6y = -387...New Equation A.\r<BR>\n" );
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document.write( "We now add the New Equation A to the old Equation B to erase the y letter.\r<BR>\n" );
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document.write( "-15x - 6y = -387 PLUS 2x + 6y = 107.50, which becomes:\r<BR>\n" );
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document.write( "-13x = -279.5\r<BR>\n" );
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document.write( "To find the value of x, we divide both sides by -13.\r<BR>\n" );
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document.write( "x = -279.50/-13\r<BR>\n" );
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document.write( "x = 21.50\r<BR>\n" );
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document.write( "To find y, I will plug the value of x just found into EITHER Equation A or B.\r<BR>\n" );
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document.write( "I will use the original Equation A but you can select any of the equations above.  Got it?\r<BR>\n" );
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document.write( "5x + 2y = 129...Equation A\r<BR>\n" );
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document.write( "5(21.50) + 2y = 129\r<BR>\n" );
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document.write( "107.50 + 2y = 129\r<BR>\n" );
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document.write( "2y = 129 - 107.50\r<BR>\n" );
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document.write( "2y = 21.50\r<BR>\n" );
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document.write( "y = 21.50/2\r<BR>\n" );
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document.write( "y = 10.75\r<BR>\n" );
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document.write( "We solve the equation in knowing that x = 21.50 and y = 10.75.\r<BR>\n" );
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document.write( "This means that the graphs of the two equations above meet at the point<BR>\n" );
document.write( "(21.50, 10.75) when graphed on the xy-plane. The meeting place on the graph is the solution of this system of linear equations.<BR>\n" );
document.write( "Is this clear?\r<BR>\n" );
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document.write( "Part (C)\r<BR>\n" );
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document.write( "An adult ticket will cost $21.50.\r<BR>\n" );
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document.write( "A child ticket will cost $10.75.\r<BR>\n" );
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document.write( "How do I know that?  I found the value of x and y, right?  This is how I know the amount for the adult and child ticket.\r<BR>\n" );
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document.write( "Is this clear?\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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