document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154316>Question 1154316</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A farmer has several packages of fertilizer for his new grain crop.  The old packages contain 40 pounds of long-term growth supplement and 70 pounds of weed killer.  The new packages contain 55 pounds of long-term growth supplement and 55 pounds of weed killer.  Using past experience the farmer estimates that he needs 3125 pounds of long-term growth supplement in 4025 pounds of weed killer for the fields.  How many old packages of fertilizer is and how many new packages of fertilizer should he use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776741 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us say he uses x old packages and y new packages.\r<BR>\n" );
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document.write( "x old packages will have <BR>\n" );
document.write( "40x pounds of supplement and 70x pounds of weed killer.\r<BR>\n" );
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document.write( "y new packages will have <BR>\n" );
document.write( "55y pounds of supplement and 55y pounds of weed killer.\r<BR>\n" );
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document.write( "Total supplement in the mixture should be 3125<BR>\n" );
document.write( "ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x+%2B+55y+=+3125 ALIGN=MIDDLE  ALT=\"40x+%2B+55y+=+3125\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (1)\r<BR>\n" );
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document.write( "Total weedkiller in the mixture should be 4025<BR>\n" );
document.write( "ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70x+%2B+55y+=+4025 ALIGN=MIDDLE  ALT=\"70x+%2B+55y+=+4025\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (2)\r<BR>\n" );
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document.write( "We need to solve the two simultaneous equations above. Since the coefficient of y is 55 in both the equations, it makes it easy to solve!\r<BR>\n" );
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document.write( "Subtract (1) from (2) to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70x+-+40x+%2B+55y+-+55y+=+4025+-+3125 ALIGN=MIDDLE  ALT=\"70x+-+40x+%2B+55y+-+55y+=+4025+-+3125\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x+=+900 ALIGN=MIDDLE  ALT=\"30x+=+900\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+30 ALIGN=MIDDLE  ALT=\"x+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting for x in (1) we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2A30+%2B+55y+=+3125 ALIGN=MIDDLE  ALT=\"40%2A30+%2B+55y+=+3125\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55y+=+3125+-+1200+=+1925 ALIGN=MIDDLE  ALT=\"55y+=+3125+-+1200+=+1925\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1925%2F55+=+35 ALIGN=MIDDLE  ALT=\"y+=+1925%2F55+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So he needs 30 old packages and 35 new packages\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "30 old packages will give<BR>\n" );
document.write( "30*40 supplement and 30*70 weed killer<BR>\n" );
document.write( "i.e. 1200 pounds supplement and 2100 pounds weed killer\r<BR>\n" );
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document.write( "35 new packages will give<BR>\n" );
document.write( "35*55 supplement and 35*55 weed killer<BR>\n" );
document.write( "i.e. 1925 pounds supplement and 1925 pounds weed killer\r<BR>\n" );
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document.write( "Total supplement = 1200 + 1925 = 3125<BR>\n" );
document.write( "Total weed killer = 2100 + 1925 = 4025<BR>\n" );
document.write( "Check successful!\r<BR>\n" );
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document.write( "<b> Ans: 30 old packages, 35 new packages </b>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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