Question 988547
n = number of nickels
d = number of dimes
q = number of quarters


5n + 10d + 25q = 4760
d = n + 28
q = 5d = 5(n + 28)


Write everything in terms of n.


5n + 10d + 25q = 4760
5n + 10(n + 28) + 25(5(n+28)) = 4760
5n + 10n + 280 + 125n + 3500 = 4760
140n = 980
n = 7


There are 7 nickels, 35 dimes, and 175 quarters in the collection.