document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634503>Question 634503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> #1 When a family with two adults and three children bought tickets for a movie, they paid a total of $27.25. The next family in line, with two children and three adults, paid $32.25 for the same movie.\r<BR>\n" );
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document.write( "a) Write a system of equations with two variables describing the situation above. Define your variables. For example x= …, y=… b) Find the adult and child prices of the movie tickets.\r<BR>\n" );
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document.write( "#2 a) Give an example of a linear inequality. b) Would the answer to your inequality be one point? Why or why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399673 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=399673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When a family with two adults and three children bought tickets for a movie, they paid a total of $27.25. The next family in line, with two children and three adults, paid $32.25 for the same movie. <BR>\n" );
document.write( "a) Write a system of equations with two variables describing the situation above. Define your variables. For example x= …, y=… <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "2a + 3c = 27.25<BR>\n" );
document.write( "3a + 2c = 32.25<BR>\n" );
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document.write( "Multiply thru 1st by 3<BR>\n" );
document.write( "Multiply thru 2nd by 2<BR>\n" );
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document.write( "6a + 9c = 3*27.25<BR>\n" );
document.write( "6a + 4c = 2*32.25<BR>\n" );
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document.write( "Subtract and solve for \"c\":<BR>\n" );
document.write( "5c = 17.25<BR>\n" );
document.write( "c = $3.45 (price of a child's ticket)<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "2a + 3c = 27.25<BR>\n" );
document.write( "2a + 3*3.45 = 27.25<BR>\n" );
document.write( "2a =  16.9<BR>\n" );
document.write( "a = $8.45 (price of an adult's ticket)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "b) Find the adult and child prices of the movie tickets. <BR>\n" );
document.write( "#2 a) Give an example of a linear inequality. b) Would the answer to your inequality be one point? Why or why not?<BR>\n" );
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