SOLUTION: $78 was saved and then divided so that Mark receives $46 less than 3 times the amount his sister recieves. How much does Mark recieve?

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Question 1161469: $78 was saved and then divided so that Mark receives $46 less than 3 times the amount his sister recieves. How much does Mark recieve?
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the amount the sister receives.


Then Mark received  3x-46.


The total is


    x + (3x-46) = 78

    4x          = 78 + 46 = 124

     x                    = 124/4 = 31.


ANSWER.  The sister received  $31.  Mark received  the rest  78-31 = 47 dollars.