Final answer:
Through a straightforward algebraic approach, equating the total value of coins to $3.36, we determine that Uncle Hank has 12 nickels, aligning with option B.
Step-by-step explanation:
Let's identify the number of nickels Uncle Hank has. We can assign a variable to represent the number of nickels, say, N. According to the question, Uncle Hank has 6 more dimes than nickels, twice as many pennies as nickels, and 3 more quarters than pennies. Using the values of U.S. coins (5 cents for a nickel, 10 cents for a dime, 1 cent for a penny, and 25 cents for a quarter), and the given total amount of $3.36, we can write the following equation:
- 5N + 10(N + 6) + 1(2N) + 25(2N + 3) = 336 cents
Solving this equation gives us the value of N, the number of nickels Uncle Hank has. Upon solving, we find that N = 12, which corresponds to option B: 12.