document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=536737>Question 536737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer keeps some animals on a strict diet. Each animal is to recieve 12 grams of protein and 6.5 grams of carbohydrates. The farmer uses two food mixes with nutrients as shown in the table. How many grams of each mix should be used to provide the correct nutrients for each animal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "        Protiens   Carbohydrates<BR>\n" );
document.write( "Mix A   12%         9%<BR>\n" );
document.write( "Mix B   15%         5%\r<BR>\n" );
document.write( "\n" );
document.write( "Please for the gentleman or lady that solves my<BR>\n" );
document.write( "problem please, give an explanation as to why you did what<BR>\n" );
document.write( "you did in each step. Thank you and have a blessed day-Tray Tillmon </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352593 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=352593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer keeps some animals on a strict diet.<BR>\n" );
document.write( " Each animal is to receive 12 grams of protein and 6.5 grams of carbohydrates.<BR>\n" );
document.write( " The farmer uses two food mixes with nutrients as shown in the table.<BR>\n" );
document.write( " How many grams of each mix should be used to provide the correct nutrients for each animal.<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Proteins | Carbohydrates<BR>\n" );
document.write( "Mix A: 12%| 9%<BR>\n" );
document.write( "Mix B: 15%| 5% <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each<BR>\n" );
document.write( "Prot eq: .12A + .15B = 12<BR>\n" );
document.write( "Carb eq: .09A + .05B = 6.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can use elimination here, multiply the 2nd equation by -3, add to the 1st eq<BR>\n" );
document.write( " .12A + .15B = 12<BR>\n" );
document.write( "-.27A - .15B = -19.5<BR>\n" );
document.write( "----------------------add eliminates B, find A<BR>\n" );
document.write( "-.15A = -7.5<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7.5%29%2F%28-.15%29 ALIGN=MIDDLE  ALT=\"%28-7.5%29%2F%28-.15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 50 grams of Mix A<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find B using the 1st equation<BR>\n" );
document.write( ".12(50) + .15B = 12<BR>\n" );
document.write( "6 + .15B = 12<BR>\n" );
document.write( ".15B = 12 - 6<BR>\n" );
document.write( ".15B = 6<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F.15 ALIGN=MIDDLE  ALT=\"6%2F.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B = 40 grams of mix B<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check these solutions in the 2nd original equation<BR>\n" );
document.write( ".09A + .05B = 6.5<BR>\n" );
document.write( ".09(50) + .05(40) = <BR>\n" );
document.write( "4.5 + 2.0 = 6.5; confirms our solution of A=50, B=40<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( ": </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );