Question 711225
Here is most of what the process can be.

p, d, q for pennies dimes quarters.


p+d+q=100 and p+10d+25q=700.  Remember 60 of the 100 coins will be one kind.


Subtract the coin count equation from the money count equation:
9d+24q=600


Either d will be 60 OR q will be 60 but NOT BOTH.  Which choice gives you whole numbers for both d and q ?