Question 955197
n = number of nickels
d = number of dimes
q = number of quarters


5n + 10d + 25q = 490
q = d + 5
n = 5q


Write everything in terms of d.


5(5(d+5)) + 10d + 25(d+5) = 490
25d + 125 + 10d + 25d + 125 = 490
60d = 240
d = 4


There are 45 nickels, 4 dimes, and 9 quarters.