Katie Has a Collection of Nickels, Dimes, and Quarters with a Total

Multiple Choice

Katie has a collection of nickels, dimes, and quarters with a total value of $4.40. There are 2 more dimes than nickels and 4 more quarters than nickels. How many of each coin is in her collection? ( Hint : Let x = the number of nickels.)

A) 8 nickels, 10 dimes and 12 quarters
B) 14 nickels, 16 dimes and 18 quarters
C) 20 nickels, 22 dimes and 24 quarters
D) 6 nickels, 8 dimes and 10 quarters
E) 10 nickels, 12 dimes and 14 quarters