SOLUTION: Karen had 3times as much money as Michael.after Karen spent $9 and Micahel was given$5 they each had an equal amount of money.How much money did Karen have at first?

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Question 1156881: Karen had 3times as much money as Michael.after Karen spent $9 and Micahel was given$5 they each had an equal amount of money.How much money did Karen have at first?
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

Let x be the amount Karen had at first.


Then the amount Michael had was  .


The condition says


    x - 9 =  + 5.


Multiply both sides by 3


    3x - 27 = x + 15


Simplify

   3x - x = 15 + 27

   2x     = 42

    x     = 42/2 = 21.


ANSWER.  Originally, Karen had 21 dollar.

Solved.


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = amount that Michael at beginning
= amount Karen had at beginning
----------------------
= amount Karen has later
= amount Michael has later
----------------------
given:



and

---------------------
Karen had $21 at first
---------------------------
check:



OK
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