document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86284>Question 86284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Peanuts are worth $2 per pound and cashews are worth $12 per pound. How many pounds of each must you mix to get 20 pounds of mixed nuts that are worth $5 per pound? I think I have the equation and what part of the equation is for each part.   <BR>\n" );
document.write( "5(x+y)=2x+12y<BR>\n" );
document.write( "                                        <BR>\n" );
document.write( "x=lbs of nuts<BR>\n" );
document.write( "y=lbs of cashews<BR>\n" );
document.write( "x+y=final mixture<BR>\n" );
document.write( "2x=value of peanuts<BR>\n" );
document.write( "12y=value of cashews<BR>\n" );
document.write( "$5=mixture per lb<BR>\n" );
document.write( "If you can help, I would greatly appreciate it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62379 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Peanuts are worth $2 per pound and cashews are worth $12 per pound. How many pounds of each must you mix to get 20 pounds of mixed nuts that are worth $5 per pound? I think I have the equation and what part of the equation is for each part.<BR>\n" );
document.write( "5(x+y)=2x+12y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x=lbs of nuts<BR>\n" );
document.write( "y=lbs of cashews<BR>\n" );
document.write( "x+y=final mixture<BR>\n" );
document.write( "2x=value of peanuts<BR>\n" );
document.write( "12y=value of cashews<BR>\n" );
document.write( "$5=mixture per lb<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using your information:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actually the final mixture would be 5(20), so you have:<BR>\n" );
document.write( "2x + 12y = 5(20)<BR>\n" );
document.write( "2x + 12y = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Also we know:<BR>\n" );
document.write( "x + y = 20<BR>\n" );
document.write( "x = (20 - y)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Substitute (20-y) for x, find y:<BR>\n" );
document.write( "2(20-y) + 12y = 100<BR>\n" );
document.write( "40 - 2y + 12y = 100<BR>\n" );
document.write( "-2y + 12y = 100 - 40<BR>\n" );
document.write( "10y = 60<BR>\n" );
document.write( "y = 6 lb of cashews<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = 20 - 6 = 14 lb of peanuts:<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution:<BR>\n" );
document.write( "2(14) + 12(6) = <BR>\n" );
document.write( "28 + 72 = 100<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );