Question 434946
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Bertha has 33 coins in her pocket totaling $5.25. If she only has nickles and quarters, 
how many of each type of coin does she have
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        In the post by @mananth,  his second equation in the  4th line is written incorrectly.

        It makes all the subsequent solution defective.

        So,  I came to make the job accurately,  in a way as it  SHOULD  be done.

        In my solution,  I will use one unknown and one equation,  since it provides a shorter way.



<pre>
Let x be the number of quarters.

Then the number of nickels is (33-x).


Write the total value equation

    25x + 5*(33-x) = 525  cents.


Simplify and find x

    25x + 165 - 5x = 525,

    25x - 5x = 525 - 165,

       20x   =    360,

         x   =    360/20 = 18.


<U>ANSWER</U>.  18 quarters and 33-18 = 15 nickels.


<U>CHECK</U>  for the total  25*18 + 5*15 = 525 cents,  precisely as it is given in the problem.
</pre>

Solved correctly.