document.write( "Question 1199391: Hi
\n" ); document.write( "Darren and lynnette had $510 altogether. When lynette donated $46 to charity and Darren gave 1/9 of his money to lynnette both had an equal amount of money. How much did Darren have at first.
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Algebra.Com's Answer #833249 by ikleyn(52864) $\"\"$ $\"About$

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\n" ); document.write( "Darren and Lynnette had $510 altogether. When Lynette donated $46 to charity
\n" ); document.write( "and Darren gave 1/9 of his money to Lynnette both had an equal amount of money.
\n" ); document.write( "How much did Darren have at first.
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document.write( "Let D be the amount of money that Darren  had originally;\r\n" );
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document.write( "Then the amount of money that Lynnette had originally was  (510-D)  dollars.\r\n" );
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document.write( "After donating and giving, Linnette had  (510-D-46 + (1/9)*D)  dollars;  \r\n" );
document.write( "Darren had    dollars,  and we have equation\r\n" );
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document.write( "    510 - D - 46 +  = ,   (1)\r\n" );
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document.write( "or, equivalently,\r\n" );
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document.write( "    464 - D +  = ,   (1)\r\n" );
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document.write( "To solve this equation, multiplying both sides by 9\r\n" );
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document.write( "    464*9 - 8D = 8D.             (3)\r\n" );
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document.write( "Simplify and find D\r\n" );
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document.write( "    464*9 = 8D + 8D\r\n" );
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document.write( "    464*9 =   16D\r\n" );
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document.write( "      D   =   = 261.\r\n" );
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document.write( "ANSWER.  Originally, Darren had 261 dollars.\r\n" );
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