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

Question

Quizplus · Accepted Answer

Let x = the number of nickels.Then, the number of dimes is x + 2, and the number of quarters is x + 4.The total value of the coins is 0.05x + 0.10(x + 2) + 0.25(x + 4) = 4.40.Simplifying the equation, we get 0.40x + 0.40 = 4.40.Solving for x, we get x = 10.Therefore, there are 10 nickels, 12 dimes, and 14 quarters in Katie's collection.

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