document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178545>Question 1178545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer has several packages of fertilizer for his new grain crop. The old packages contain 60 pounds of​ long-term-growth supplement and 50 pounds of weed killer. The new packages contain 45 pounds of​ long-term-growth supplement and 65 pounds of weed killer. Using past​ experience, the farmer estimates that he needs 3900 pounds of​ long-term-growth supplement and 4350 pounds of weed killer for the fields. How many old packages of fertilizer 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 #807945 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=807945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer has several packages of fertilizer for his new grain crop.<BR>\n" );
document.write( " The old packages contain 60 pounds of​ long-term-growth supplement and 50 pounds of weed killer.<BR>\n" );
document.write( " The new packages contain 45 pounds of​ long-term-growth supplement and 65 pounds of weed killer. <BR>\n" );
document.write( " Using past​ experience, the farmer estimates that he needs 3900 pounds of​ long-term-growth supplement and 4350 pounds of weed killer for the fields.<BR>\n" );
document.write( " How many old packages of fertilizer and how many new packages of fertilizer should he​ use?<BR>\n" );
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document.write( "Let a = no. of old fertilizer bags<BR>\n" );
document.write( "Let b = no. of new<BR>\n" );
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document.write( "60a + 45b = 3900, amt of long term sup<BR>\n" );
document.write( "50a + 65b = 4350, amt of weed killer sup<BR>\n" );
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document.write( "We can simplify these equations, divide the 1st by 60, the 2nd by 50<BR>\n" );
document.write( "a + .75b = 65<BR>\n" );
document.write( "a + 1.3b = 87<BR>\n" );
document.write( "---------------subtraction eliminates a, find b<BR>\n" );
document.write( "0 - .55b = -22<BR>\n" );
document.write( "b = -22/-.55<BR>\n" );
document.write( "b = +40 bags of the new stuff<BR>\n" );
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document.write( "Find a;<BR>\n" );
document.write( "a + .75(40) = 65<BR>\n" );
document.write( "a + 30 = 65<BR>\n" );
document.write( "a = 65 - 30<BR>\n" );
document.write( "a = 35 bags of the old stuff<BR>\n" );
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document.write( ":<BR>\n" );
document.write( "Check this in original 1st equation<BR>\n" );
document.write( "60(35) + 45(40) = <BR>\n" );
document.write( "2100 + 1800 = 3900\r<BR>\n" );
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document.write( " </SPAN>\n" );
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