document.write( "Question 1199191: A farmer has 1,310 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 $69,550 for the cost of growing his crops. How many acres of each crop should he plant?
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Algebra.Com's Answer #832923 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A farmer has 1,310 acres of land on which he grows corn, wheat, and soybeans.
\n" ); document.write( "It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans.
\n" ); document.write( "Because of market demand the farmer will grow twice as many acres of wheat as of corn.
\n" ); document.write( "He has allocated $69,550 for the cost of growing his crops.
\n" ); document.write( "How many acres of each crop should he plant?
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document.write( "x  = acres  for corn;\r\n" );
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document.write( "2x = acres for wheat\r\n" );
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document.write( "1310-x-2x = 1310-3x = acres for soybeans  (the rest).\r\n" );
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document.write( "The money equation is\r\n" );
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document.write( "    45x + 60*(2x) + 50*(1310-3x) = 69550  dollars.\r\n" );
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document.write( "This equation is in one unknown, and you can easily solve it\r\n" );
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document.write( "    45x + 120x + 50*1310 - 150x = 69550\r\n" );
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document.write( "    x =  = 270.\r\n" );
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document.write( "ANSWER.  270 acres for corn;  2*270 = 540 acres for wheat, and the rest 1310-270-540 = 500 acres for soybeans.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The most interesting and educational lesson from this solution is that
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