Question 998428
Call quarters, nickels, and dimes, q, n and d respectively.
Here is what they tell us...
q + n + d = 52
q = d + 3
n = d - 5
Now substitute these into the first equation and get
(d + 3) + (d - 5) + d = 52
3d - 2 = 52
3d = 54
d = 18 dimes
q = 21 quarters
n = 13 nickels
52 coins total