document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85989>Question 85989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and gourmet chocolate chip chunks. Walnuts sell for $1.40 per pound and gourmet chips sell for $2.60 per pound. How many pounds of walnuts should be mixed with 3 pounds of gourmet chips to obtain a mixture selling for $1.76 per pound?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62241 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=62241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=number of lbs of walnuts needed\r<BR>\n" );
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document.write( "Total cost of walnuts=$1.40x\r<BR>\n" );
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document.write( "Total cost of gourmet chips=$2.60*3\r<BR>\n" );
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document.write( "Total cost of final mixture $1.76(3+x)\r<BR>\n" );
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document.write( "Now we know that the total cost of walnuts ($1.40x) plus total cost of gourmet chips ($2.60*3) must equal the total cost of the final mixture ($1.76(3+x)).  So our equation to solve is:\r<BR>\n" );
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document.write( "$1.40x+$2.60*3=$1.76(3+x)  get rid of parens\r<BR>\n" );
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document.write( "$1.40x+$7.80=$5.28+$1.76x  subtract $1.76x and also $7.80 from each side of the equation\r<BR>\n" );
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document.write( "$1.40x+$7.80-$7.80-$1.76x=$5.28+$1.76x-$1.76x-$7.80  collect like terms\r<BR>\n" );
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document.write( "-$0.36x=-$2.52  divide both sides by -$0.36\r<BR>\n" );
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document.write( "x=7 lb ------------------------number of lbs of walnuts\r<BR>\n" );
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document.write( "ck\r<BR>\n" );
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document.write( "7*$1.40+3*$2.60=$1.76*10\r<BR>\n" );
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document.write( "$9.80+$7.80=$17.60<BR>\n" );
document.write( "$17.60=$17.60\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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