An application of three equations in three unknowns: A bag of coins contains nickels, dimes, and quarters. There are a total of 21 coins in the bag, and the total amount of money in the bag is $3.35....

An application of three equations in three unknowns: A bag of coins contains nickels, dimes, and quarters. There are a total of 21 coins in the bag, and the total amount of money in the bag is $3.35. There is one more dime than there are nickels. How many dimes, nickels, and quarters are in the bag?