document.write( "Question 1181251: A farmer grows only pumpkins and corn on her 420 -acre farm. This year she wants to plant 250 more acres of corn than pumpkins. How many acres of each crop does the farmer need to plant? \n" ); document.write( "

Algebra.Com's Answer #811109 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A farmer grows only pumpkins and corn on her 420 -acre farm.
\n" ); document.write( "This year she wants to plant 250 more acres of corn than pumpkins.
\n" ); document.write( "How many acres of each crop does the farmer need to plant?
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document.write( "Let P be the pumpkins area (in acres).\r\n" );
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document.write( "Then the corn area is (P+250) acres, according to the condition.\r\n" );
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document.write( "With it, write the total area equation as you read the text\r\n" );
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document.write( "    P + (P+250) = 420  acres.\r\n" );
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document.write( "Simplify and find P\r\n" );
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document.write( "    2P = 420 - 250 = 170\r\n" );
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document.write( "     P             = 170/2 = 85.\r\n" );
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document.write( "ANSWER.  85 acres of pumpkins and 85 + 250 = 335 acres of corn.\r\n" );
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document.write( "CHECK.   The total area is  85 + 335 = 420 acres.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( " There is another way to solve the problem.\r
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document.write( "You can write the system of two equations\r\n" );
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document.write( "    C + P = 420\r\n" );
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document.write( "    C - P = 250.\r\n" );
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document.write( "To solve it, add the equations.\r\n" );
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document.write( "Doing this way to the end, you will get the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (in two ways).\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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