document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204889>Question 204889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.	5.  A 200 lb batch of feed is being formulated using corn, dried distiller’s grain (DDGs) and soybean meal.  The corn is 6.5% crude protein and the soybean meal is 45% crude protein.  Dried distiller’s grain is 27% crude protein.  The final diet should be 15% crude protein.  The final diet will include 20 lbs of DDGs.  How much corn and soybean meal should be added to mix this batch of feed?\r<BR>\n" );
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document.write( "(HINT:  Take x to be lbs of corn, y to be lbs of soybean meal, z to be lbs of DDGs.  You already know what one of these should be.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154688 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=154688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK, We'll use your hint (sort of)\r<BR>\n" );
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document.write( "Let x=lbs of corn needed<BR>\n" );
document.write( "We are told that 20 lb=lbs of DDGs needed<BR>\n" );
document.write( "Then 200-(x+20)=200-x-20=<BR>\n" );
document.write( "180-x=lbs of soybean meal needed\r<BR>\n" );
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document.write( "Now we know that the amount of pure crude protein before they are mixed together<BR>\n" );
document.write( "(0.065x+0.27*20+0.45(180-x)) has to equal the amount of pure crude protein after they are mixed together (0.15*200), so our equation to solve is:\r<BR>\n" );
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document.write( "0.065x+0.27*20+0.45(180-x)=0.15*200  simplify <BR>\n" );
document.write( "0.065x+5.4+81-0.45x=30 collect like terms<BR>\n" );
document.write( "-0.385x+86.4=30  subtract 86.4 from each side<BR>\n" );
document.write( "-0.385x=-56.4  dibvide each side by -0.385<BR>\n" );
document.write( "x=146.5------------------------lbs of corn needed<BR>\n" );
document.write( "20-----------------------------lbs of DDGs neede<BR>\n" );
document.write( "180-x=180-146.5=33.5-----------lbs of soybean meal needed\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "0.065*146.5 + 0.27*20 + 0.45*33.5=0.15*200<BR>\n" );
document.write( "9.5225 + 5.4 + 15.075=30<BR>\n" );
document.write( "~~~~30=30\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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