document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123353>Question 1123353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A movie theater sold 8 adult tickets and 3 children tickets for $86 on Monday.The theater sold 12 adult tickets and 6 tickets for $132 on Tuesday. Find the price of an adult ticket and a children's ticket? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739651 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be cost of an adult's ticket and y be the cost of a children's ticket<BR>\n" );
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document.write( "we have two equations in two unknowns<BR>\n" );
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document.write( "1) 8x+3y = 86<BR>\n" );
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document.write( "2) 12x+6y = 132<BR>\n" );
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document.write( "solve equation 2 for y<BR>\n" );
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document.write( "subtract 12x from both sides of =<BR>\n" );
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document.write( "6y = 132-12x<BR>\n" );
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document.write( "divide both sides of = by 6<BR>\n" );
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document.write( "y = 22-2x<BR>\n" );
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document.write( "substitute for y in equation 1<BR>\n" );
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document.write( "8x+3(22-2x) = 86<BR>\n" );
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document.write( "8x+66-6x = 86<BR>\n" );
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document.write( "2x = 20<BR>\n" );
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document.write( "x = 10<BR>\n" );
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document.write( "y = 22-2(10)<BR>\n" );
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document.write( "y = 22-20 = 2<BR>\n" );
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document.write( "x = 10 and y = 2<BR>\n" );
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document.write( "cost of adult's ticket is $20 and cost of children's ticket is $2 <BR>\n" );
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document.write( "check the answers with the two equations<BR>\n" );
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document.write( "1) 8x+3y = 86<BR>\n" );
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document.write( "8*10 + 3*2 = 86<BR>\n" );
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document.write( "80+6 = 86<BR>\n" );
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document.write( "86 = 86<BR>\n" );
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document.write( "2) 12x+6y = 132<BR>\n" );
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document.write( "12*10 + 6*2 = 132<BR>\n" );
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document.write( "120+12 = 132<BR>\n" );
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document.write( "132 = 132<BR>\n" );
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document.write( "the answers check with equations 1 and 2<BR>\n" );
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