Question 1023930
n = number of nickels
d = number of dimes
q = number of quarters


d = n + 7
q = n + 3
5n + 10d + 25q = 705


Write everything in terms of n.


5n + 10(n + 7) + 25(n + 3) = 705
5n + 10n + 70 + 25n + 75 = 705
40n + 145 = 705
40n = 560
n = 14


Katie has 14 nickels, 21 dimes, and 17 quarters.