document.write( "Question 1144699: Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now? \n" ); document.write( "
Algebra.Com's Answer #765860 by ikleyn(52786)\"\" \"About 
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document.write( "Let x be the area of the farm originally.\r\n" );
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document.write( "Then from the condition you have this equation\r\n" );
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document.write( "    \"x%2F2\" + 100 + \"x%2F5\" = x.\r\n" );
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document.write( "To solve it, multiply both sides by 10. You will get\r\n" );
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document.write( "    5x + 1000 + 2x = 10x,\r\n" );
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document.write( "    1000 = 10x - 5x - 2x\r\n" );
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document.write( "    1000 = 3x\r\n" );
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document.write( "    x = \"1000%2F3\" acres.\r\n" );
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document.write( "It answers first question.\r\n" );
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document.write( "He has now \"1%2F5\" of  \"1000%2F3\" acres, which is  \"200%2F3\" acres.\r\n" );
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document.write( "It answers second question.\r\n" );
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document.write( "CHECK.  \"%281%2F2%29%2A%281000%2F3%29\" + 100 + \"200%2F3\" = \"1000%2F6+%2B+100+%2B+200%2F3\" = \"1000%2F6+%2B+600%2F6+%2B+400%2F6\" = \"2000%2F6\" = \"500%2F3\" acres.   ! Correct !\r\n" );
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