Let n be a positive integer. in triangle ABC, AB = 3n, AC = 2n + 15, BC = n + 30, and angle A > angle B > angle C. How many possible values of n are there?

Avery’s piggy bank has 300 nickels, 450 pennies, and 150 dimes. she randomly picks three coins. each time she picks a coin, she makes a note of it and puts it back into the piggy bank before picking the next coin.