document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317426>Question 317426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320 lb mixture that is 10% protein?\r<BR>\n" );
document.write( "\n" );
document.write( "How many pounds of the cornmeal should be in the mixture?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "How many pounds of the soybean meal should be in mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227291 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> soybean is 16% protein.<BR>\n" );
document.write( "cornmeal is 8% protein.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = amount of soybeans<BR>\n" );
document.write( "y = amount of cornmeal\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x + y = 320\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "amount of protein in 320 pound mixture if equal to .10 * 320 = 32\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "amount of protein in x pounds of soybeans is .16 * x<BR>\n" );
document.write( "amount of protein in 6 pounds of cornmeal is .08 * y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ".16*x + .08*y = .10*320\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You have 2 equations that need to be solved simultaneously.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "They are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x + y = 320<BR>\n" );
document.write( ".16x + .08y = 32\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sole for y in the first equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 320 - x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "substitute in the second equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ".16x + .08(320-x) = 32 pounds of protein in the mixture.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ".16x + 25.6 - .08x = 32\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ".08x + 25.6 = 32\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 25.6 from both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ".08x = 6.4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "divide both sides of the equation by .08 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You need 80 pounds of soybeans which means you need 240 pounds of cornmeal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ".16*80 + .08*240 = 12.8 + 19.2 = 32 pounds of protein.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "answer is you need 80 pounds of soybeans and 240 pounds of cornmeal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );