SOLUTION: Meg is given 30 dollars by Nelson. After this exchange, Nelson still has 10 dollars more than Meg. If Nelson originally had 4 times as much money as Meg, how much do they both p

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Question 1195907: Meg is given 30 dollars by Nelson.
After this exchange, Nelson still has 10 dollars more than Meg.
If Nelson originally had 4 times as much money as Meg, how much do they both possess before any exchanges were carried out?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!

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If Nelson originally had 4 times as much money as Meg, how much do they both possess before any exchanges were carried out?
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Meg originally had m dollars and Nelson had 4m dollars.

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Meg is given 30 dollars by Nelson.
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The exchange meant that m+30 for Meg and 4m-30 for Nelson.


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After this exchange, Nelson still has 10 dollars more than Meg.
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Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
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Meg is given 30 dollars by Nelson.
After this exchange, Nelson still has 10 dollars more than Meg.
If Nelson originally had 4 times as much money as Meg, how much do they both possess before any exchanges were carried out?
~~~~~~~~~~~~~~~ 

At the beginning, Meg had x dollars; Nelson had 4x dollars.


After giving,

    4x - 30 = (x+30) + 10.


Simplify and find x

    4x - 30 = x + 40

    4x - x  = 40 + 30

       3x   =   70

        x   =   70/3.


ANSWER and DIAGNOSIS.  The solution is not integer number of cents, 

                       meaning that the input info is    in this problem/post.

Avoid posting defective problems to this forum.



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