Question 1095840
The solution with the fewest nickels:
25q+5n=1255
where n=1
25q+5=1255
25q=1250
q=1250/25
q=50 n=1
for every quarter you remove add 5 nickels
q=50 n=1
q=49 n=6
q=48 n=11
...
q=0 n=251