document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250856>Question 250856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Grandma's Bakery sells single-crust apple pies for $6.99 and double-crust cherry pies for $10.99.  The total number of pies sold on a busy Friday was 36. If the amount collected for all the pies that day was $331.64, how many of each type were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184568 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=184568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x * 6.99 + y * 10.99 = $331.64\r<BR>\n" );
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document.write( "x + y = 36\r<BR>\n" );
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document.write( "solve for y in the second equation to get:\r<BR>\n" );
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document.write( "y = 36 - x\r<BR>\n" );
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document.write( "substitute for y in the first equation to get:\r<BR>\n" );
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document.write( "x * 6.99 + (36 - x) * 10.99 = $331.64\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "x * 6.99 + 36*10.99 - x * 10.99 = 331.64\r<BR>\n" );
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document.write( "subtract 36*10.99 from both sides of the equation to get:\r<BR>\n" );
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document.write( "6.99*x - 10.99*x = 331.64 - 395.64\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-4*x = -64\r<BR>\n" );
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document.write( "divide both sides by -4 to get:\r<BR>\n" );
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document.write( "x = 16\r<BR>\n" );
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document.write( "y = 36 - x = 20\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "x = 16<BR>\n" );
document.write( "y = 20\r<BR>\n" );
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document.write( "substitute in original equation.\r<BR>\n" );
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document.write( "x * 6.99 + y * 10.99 = $331.64 becomes:\r<BR>\n" );
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document.write( "16 * 6.99 + 20 * 10.99 = 331.64 which becomes\r<BR>\n" );
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document.write( "111.84 + 219.8 = 331.64 confirming the answers are good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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