SOLUTION: 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 dol

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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?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
n, How much Nicole has
k, How much Kym has



Question asks for the value of n.


-
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~


        In the post by @josgarithmetic,  the setup and the solution
        which follows are incorrect.  I came to bring a correct solution. 


n, How much Nicole has
k, How much Kym has


    n-3 =    (1)

     = 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.


ANSWER.  Nicole has 33 dollars.

Solved.

-----------------

For completeness, Kym has 90 dollars.



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