document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97894>Question 97894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many pounds of nuts that costs$1.10 per pound must be mixed with 50 pounds of nut that cost $1.80 per pound to make a mixture that cost $1.30 per pound?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71281 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of pounds of nuts that cost $1.10 per pound<BR>\n" );
document.write( "Value of these nuts=$1.10x<BR>\n" );
document.write( "Then 50-x=number of pounds of nuts that cost $1.80 per pound<BR>\n" );
document.write( "Value of these nuts =$1.80(50-x)\r<BR>\n" );
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document.write( "Value of final mixture = $1.30(50)\r<BR>\n" );
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document.write( "Now we know that the value of the nuts before they are mixed ($1.10x+$1.80(50-x)) is equal to the value of the nuts after they are mixed($1.30*50).  So our equation to solve is:\r<BR>\n" );
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document.write( "$1.10x+$1.80(50-x)=$1.30*50 get rid of parens\r<BR>\n" );
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document.write( "$1.10x+$90-$1.80x=$65  subtract $90 from both sides\r<BR>\n" );
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document.write( "$1.10x+$90-$90-$1.80x=$65-$90  combine like terms<BR>\n" );
document.write( "-$0.70x=-$25  divide both sides by -$0.70\r<BR>\n" );
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document.write( "x=35.714 lbs of nuts that cost $1.10 per pound\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "(35.714)($1.10)+($1.80)(50-35.714)=$1.30*50\r<BR>\n" );
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document.write( "39.2854+25.714=65<BR>\n" );
document.write( "65.002~65\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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