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

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) = 4.40Simplifying and solving for x:0.05x + 0.10x + 0.20 + 0.25x + 1.00 = 4.400.40x + 1.20 = 4.400.40x = 3.20x = 8Therefore, there are 8 nickels, 10 dimes, and 12 quarters in Katie's collection.

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