document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158765>Question 158765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A food store a 10-lb mixture of peanuts, cashews, and raisins. Peanuts cost $1.50 per pound, cashews cost $1.00 per pound, and raisins cost $1.00 per pound. The mixture calls for twice as much peanuts than cashews. The total cost of the mixture is $12.00. How much of each ingredient did the store use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117001 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount of peanuts <BR>\n" );
document.write( "and y=amount of cashews<BR>\n" );
document.write( "and z =amount of raisins\r<BR>\n" );
document.write( "\n" );
document.write( "Now we are told that:<BR>\n" );
document.write( "x+y+z=10--------------------------------eq1 <BR>\n" );
document.write( "we are also told that:<BR>\n" );
document.write( "2y=x------------------------------------eq2<BR>\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "($ are understood)<BR>\n" );
document.write( "1.5x+y+z=12-----------------------------eq3\r<BR>\n" );
document.write( "\n" );
document.write( "subtract eq1 from eq3 and we get<BR>\n" );
document.write( "0.5x=2 divide each side by 0.5<BR>\n" );
document.write( "x=4 lb----------------------------------amount of peanuts used<BR>\n" );
document.write( "substitute x=4 into eq2 and we get:<BR>\n" );
document.write( "2y=4 divide each side by 2<BR>\n" );
document.write( "y=2 lb------------------------------------------amount of cashews used\r<BR>\n" );
document.write( "\n" );
document.write( "substitute x=4 and y=2 into eq1 and we get\r<BR>\n" );
document.write( "\n" );
document.write( "4+2+z=10 or<BR>\n" );
document.write( "6+z=10  subtract 6 from each side<BR>\n" );
document.write( "6-6+z=10-6<BR>\n" );
document.write( "z=4 lb--------------------------------------------amount of raisins used\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "4+2+4=10<BR>\n" );
document.write( "10=10<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1.5)*4+2+4=12<BR>\n" );
document.write( "6+2+4=12<BR>\n" );
document.write( "12=12\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );