Question 1122003
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<pre>
Let x be the number of nickels.

Then the number of dimes is  (x+30)  and the number of quarters is 2*(x+30).



Nickels   contribute    5x          cents to the total.

Dimes     contribute    10*(x+30)   cents to the total.

Quarters  contribute    25*2*(x+30) cents to the total.


So, your "money" equation is


    5x + 10*(x+30) + 50*(x+30) = 3750    cents.


Simplify and solve for x:


    5x + 10x + 300 + 50x + 1500 = 3750


    65x = 3750 - 300 - 1500


    65x = 1950  ====>  x = {{{1950/65}}} = 30.


<U>Answer</U>.  30 nickels;  30+30 = 60 dimes;  and  2*60 = 120 quarters.


<U>Check</U>.   30*5 + 60*10 + 120*25 =  3750  cents.    ! Correct !
</pre>

Solved.


<U>The lesson to learn from this solution</U> :


<pre>
    This problem is for one unknown and one equation.
</pre>


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