document.write( "Question 1149820: 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? \n" ); document.write( "
Algebra.Com's Answer #771165 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            There is much simpler way to solve the problem,  using  one  SINGLE  equation in one unknown
\n" ); document.write( "            INSTEAD  of system of  3  equations in  3  unknowns.\r
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document.write( "Let x be the area for corn, in acres.\r\n" );
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document.write( "Then the area for wheat is 2x acres.\r\n" );
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document.write( "Hence, the area for soybeans is  (1080 - x - 2x) = 1080-3x acres.\r\n" );
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document.write( "Now it is easy  to write the \"money\" equation\r\n" );
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document.write( "    45*x + 60*(2x) + 50*(1080-3x) = 57300.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "    45x + 120x + 50*1080 - 150x = 57300\r\n" );
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document.write( "    15x = 57300 - 50*1080  = 3300\r\n" );
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document.write( "       x                   = 3300/15 = 220.\r\n" );
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document.write( "ANSWER.  220 acres for corn;  2*220 = 440 acres for wheat and the rest,  1080-220-440 = 420 acres for soybeans.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The whole problem is designed, intended and expected to be solved exactly  IN  THIS  WAY.\r
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\n" ); document.write( "\n" ); document.write( "It was given to you  WITH  THE  ONLY  GOAL :   in order for you learned from my post how to solve it in the  RIGHT  WAY.\r
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