Question 1201326
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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?
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        In the post by @josgarithmetic,  the setup and the solution

        which follows are incorrect.   I came to bring a correct solution.



<pre>
n, How much Nicole has
k, How much Kym has


    n-3 = {{{(1/3)k}}}   (1)

    {{{k/2-n}}} = 12     (2)


Multiply 1st equation by 3 (both sides).
Multiply 2nd equation by 2 (both sides).


    3n - 9 =  k      (3)
    k - 2n = 24.     (4)


From (3), substitute expression for k into equation (4)

    (3n-9) - 2n = 24.


Simplify and find n

    3n - 2n = 24 + 9

       n    =    33.


<U>ANSWER</U>.  Nicole has 33 dollars.
</pre>

Solved.


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For completeness, Kym has 90 dollars.