document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112478>Question 112478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A merchant mixed 30 lb. of peanuts with 20 lbs of cashews. The 50 lb mixture sells for $203. A second mixture included 40lb of peanuts and 60 lbs of cashews. The 100 lb mixture sells for $484. Find the cost per pound of cashews. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82070 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=82070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=cost per pound of peanuts<BR>\n" );
document.write( "And let y=cost per pound of cashews\r<BR>\n" );
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document.write( "Now we are told the following:<BR>\n" );
document.write( "30x+20y=$203-----------------------eq1<BR>\n" );
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document.write( "40x+60y=$484--------------------------eq2\r<BR>\n" );
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document.write( "Divide each term in eq2 by 4\r<BR>\n" );
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document.write( "10x+15y=$121-------------------eq2a\r<BR>\n" );
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document.write( "Now multiply eq2a by 3<BR>\n" );
document.write( "30x+45y=$363--------------------eq2b\r<BR>\n" );
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document.write( "subtract eq1 from eq2b:\r<BR>\n" );
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document.write( "25y=$160  divide both sides by 25\r<BR>\n" );
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document.write( "y=$6.40 -------cost per pound of cashews\r<BR>\n" );
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document.write( "substituting into eq2a, we get:\r<BR>\n" );
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document.write( "10x+15($6.40)=$121<BR>\n" );
document.write( "10x+$96=$121  subtract $96 from both sides\r<BR>\n" );
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document.write( "10x=$25  divide both sides by 10<BR>\n" );
document.write( "x=$2.50----------------cost per pound of peanuts\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "30(2.50)+20(6.40)=203\r<BR>\n" );
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document.write( "75+128=203<BR>\n" );
document.write( "203=203<BR>\n" );
document.write( "and<BR>\n" );
document.write( "40(2.50)+60(6.40)=484<BR>\n" );
document.write( "100+384=484<BR>\n" );
document.write( "484=484\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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