Question 957998
n = number of nickels
d = number of dimes
q = number of quarters


n + d + q = 100
5n + 10d + 25q = 1300
n = 3d


Substitute the third equation into the first two equations.


4d + q = 100
25d + 25q = 1300 ---> d + q = 52


4d + q = 100
-d - q = -52
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3d = 48 --> d = 16


There are 48 nickels, 16 dimes, and 36 quarters.