document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191854>Question 191854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Lang family and the Rogers family went to a brunch buffet.  The restaurant charges one price for adults and another price for children.  The Lang family has two adults and three children, and their bill was $40.50.  The Rogers family has three adults and one child, and their bill was $38.00.  What is the price of the buffet for an adult and the price of a child? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143957 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=143957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let  A  =  adult  price<BR>\n" );
document.write( "let  C = Child  price\r<BR>\n" );
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document.write( "1)   2A+3C=40,5\r<BR>\n" );
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document.write( "2)  3A+1C=38.00\r<BR>\n" );
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document.write( "mult  (2)  by  3\r<BR>\n" );
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document.write( "9A+3C=114.00\r<BR>\n" );
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document.write( "subtract  (1)\r<BR>\n" );
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document.write( "7A +0C=  73.50<BR>\n" );
document.write( "divide  by  7,  both  sides  of  eqn\r<BR>\n" );
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document.write( "A=10.50\r<BR>\n" );
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document.write( "subst  in  (1)\r<BR>\n" );
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document.write( "2(10.5)  +  3C = 40,50<BR>\n" );
document.write( "21.00  +3C= 40.50\r<BR>\n" );
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document.write( "subtract     21.00  both  sides\r<BR>\n" );
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document.write( "3C=  19.50<BR>\n" );
document.write( "divide  both  sides  by  3\r<BR>\n" );
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document.write( "C=6.50\r<BR>\n" );
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document.write( "check\r<BR>\n" );
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document.write( "2(10,50) + 3(6.50)=  21 + 19.50 = 40.50    ok\r<BR>\n" );
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document.write( "3(10.50) + 6.50 = 31.50 + 6.50 = 38.00    ok </SPAN>\n" );
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