Question 1002116
n = number of nickels
d = number of dimes
q = number of quarters


5n + 10d + 25q = 11225
q = 3d
n = d + 91


Write everything in terms of d.


5n + 10d + 25q = 11225
5(d + 91) + 10d + 25(3d) = 11255
90d + 455 = 11255
90d = 10800
d = 120


There are 211 nickels, 120 dimes, and 360 quarters.