document.write( "Question 1201326: Nicole has 3 more dollars than she needs in order to have one-third of the dollars that Kym has. Nicole is 12 dollars short of having half of the dollars that Kym has. How many dollars does Nicole have? \n" ); document.write( "

Algebra.Com's Answer #835638 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Nicole has 3 more dollars than she needs in order to have one-third of the dollars that Kym has.
\n" ); document.write( "Nicole is 12 dollars short of having half of the dollars that Kym has. How many dollars does Nicole have?
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\n" ); document.write( "\n" ); document.write( " In the post by @josgarithmetic, the setup and the solution\r
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document.write( "n, How much Nicole has\r\n" );
document.write( "k, How much Kym has\r\n" );
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document.write( "    n-3 =    (1)\r\n" );
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document.write( "     = 12     (2)\r\n" );
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document.write( "Multiply 1st equation by 3 (both sides).\r\n" );
document.write( "Multiply 2nd equation by 2 (both sides).\r\n" );
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document.write( "    3n - 9 =  k      (3)\r\n" );
document.write( "    k - 2n = 24.     (4)\r\n" );
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document.write( "From (3), substitute expression for k into equation (4)\r\n" );
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document.write( "    (3n-9) - 2n = 24.\r\n" );
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document.write( "Simplify and find n\r\n" );
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document.write( "    3n - 2n = 24 + 9\r\n" );
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document.write( "       n    =    33.\r\n" );
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document.write( "ANSWER.  Nicole has 33 dollars.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For completeness, Kym has 90 dollars.\r
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