document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149820>Question 1149820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer has 1,080 acres of land on which he grows corn, wheat, and soybeans. It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $57,300 for the cost of growing his crops. How many acres of each crop should he plant? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771162 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=771162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer has 1,080 acres of land on which he grows corn, wheat, and soybeans.<BR>\n" );
document.write( " It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans.<BR>\n" );
document.write( " Because of market demand the farmer will grow twice as many acres of wheat as of corn.<BR>\n" );
document.write( " He has allocated $57,300 for the cost of growing his crops.<BR>\n" );
document.write( " How many acres of each crop should he plant?<BR>\n" );
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document.write( "let c = acres in corn<BR>\n" );
document.write( "let w = acres in wheat<BR>\n" );
document.write( "let s = acres in soy bean<BR>\n" );
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document.write( "write an equation for each statement<BR>\n" );
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document.write( "\"A farmer has 1,080 acres of land on which he grows corn, wheat, and soybeans.\"<BR>\n" );
document.write( "c + w + s = 1080<BR>\n" );
document.write( "\" It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans.\"..\"He has allocated $57,300 for the cost\"<BR>\n" );
document.write( "45c + 60w + 50s =  57300<BR>\n" );
document.write( "\"Because of market demand the farmer will grow twice as many acres of wheat as of corn.\" <BR>\n" );
document.write( "w = 2c<BR>\n" );
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document.write( "replace w with 2c in the first two equations<BR>\n" );
document.write( "c + 2c + s = 1080<BR>\n" );
document.write( "3c + s = 1080<BR>\n" );
document.write( "and<BR>\n" );
document.write( "45c + 60(2c) + 50s = 57300<BR>\n" );
document.write( "45c + 120c + 50s = 57300<BR>\n" );
document.write( "165c + 50s = 57300<BR>\n" );
document.write( "simplify, divide equation by 50<BR>\n" );
document.write( "3.3c + s = 1146<BR>\n" );
document.write( "use elimination on these two equation<BR>\n" );
document.write( "3.3c + s = 1146<BR>\n" );
document.write( "3c  +  s = 1080<BR>\n" );
document.write( "--------------------subtraction eliminates s, find c<BR>\n" );
document.write( ".3c + 0 = 66<BR>\n" );
document.write( "c = 66/.3<BR>\n" );
document.write( "c = 220 acres in corn<BR>\n" );
document.write( "then<BR>\n" );
document.write( "w = 2(220)<BR>\n" );
document.write( "w = 440 acres in wheat<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1080 - 220 - 440 = 420 acres in soybeans<BR>\n" );
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document.write( "Check this in the statement:<BR>\n" );
document.write( "\" It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans.\"..\"He has allocated $57,300 for the cost\"<BR>\n" );
document.write( "45(220) + 60(440) + 50(420) =<BR>\n" );
document.write( "9900 + 26400 + 21000 = 57300 </SPAN>\n" );
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