document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729228>Question 729228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mandy's Candies is most famous for their homemade fudge and homemade toffee. They make an average of 154 pounds of fudge and toffee combined each month. They sell a pound of fudge for $9.64 and a pound of toffee for $6.44. Mandy's averages $1,231.76 each month in fudge and toffee sales. On average, how many pounds each of fudge and toffee does Mandy's Candies sell in one month? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445794 by </B><A HREF=/tutors/aboutme.mpl?userid=mbmodak><B>mbmodak(32)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbmodak><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=445794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let qty of fudge be x pounds & qty of toffee be y pounds per month	<BR>\n" );
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document.write( "They make an average of 154 pounds of fudge and toffee combined each month	<BR>\n" );
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document.write( "x+y=154	(1)<BR>\n" );
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document.write( "They sell a pound of fudge for $9.64 and a pound of toffee for $6.44. Mandy's averages $1,231.76 each month in fudge and toffee sales. On average,	<BR>\n" );
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document.write( "So  cost of monthly fudge&toffee is  9.64*x+6.44*y=1231.76 	<BR>\n" );
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document.write( "9.64x+6.44y=1231.76	;(2)<BR>\n" );
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document.write( "multiply eq (1) by 9.64 & then subtract 2 from 1	<BR>\n" );
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document.write( "9.64x+9.64y=154*9.64	<BR>\n" );
document.write( "9.64x+9.64y=1484.56   	(1')<BR>\n" );
document.write( "9.64x+6.44y=1231.76	;(2)<BR>\n" );
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document.write( "(9.64-6.44)y=1484.64-1231.76	<BR>\n" );
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document.write( "3.2y=252.8	<BR>\n" );
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document.write( "y=252.8/3.2=79 pounda	<BR>\n" );
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document.write( "In order to solve for x, take the value for y and substitute it back into either one of the original equations.	<BR>\n" );
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document.write( "x+79=154	<BR>\n" );
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document.write( "x=154-79=75 pounds	So they make 75 pounds of fudge & 79 pounds of toffee per month<BR>\n" );
document.write( "so monthly cost is	<BR>\n" );
document.write( "9.64*75+6.44*79=1231.76	<BR>\n" );
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