document.write( "Question 1181226: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eight to his daughter and the remainder, an amount of $3,600 to charity. Find the amount of estate. \n" ); document.write( "

Algebra.Com's Answer #811142 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A man left one-fourth of his estate to his wife, one-fifth to each of his two sons,
\n" ); document.write( "one-eight to his daughter and the remainder, an amount of $3,600 to charity.
\n" ); document.write( "Find the amount of estate.
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document.write( "Let x be the amount of estate.\r\n" );
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document.write( "Then you write equation as you read the text\r\n" );
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document.write( "     +  +  + 3600 = x.\r\n" );
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document.write( "To solve it, mutiply all the terms by 40 to ride off the denominators.\r\n" );
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document.write( "    10x + 16x + 5x + 3600*40 = 40x\r\n" );
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document.write( "    144000 = 40x - 10x - 16x - 5x\r\n" );
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document.write( "    144000 = 9x\r\n" );
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document.write( "    x      = 144000/9 = 16000.\r\n" );
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document.write( "ANSWER.  The amount of estate was  16000  monetary units.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and carefully explained.\r
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        A key step in solving such problems is
\n" ); document.write( "        to write an equation as you read the text.\r
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\n" ); document.write( "\n" ); document.write( "        MEMORIZE and USE this rule (!)\r
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\n" ); document.write( "\n" ); document.write( "        It is the engine which moves the entire solution.

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