Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?

Let q be the number of quarters. Then Rachna has q − 3 dimes and 2q nickels. In cents, the total is 25q + 10(q − 3) + 5(2q) = 465. Simplifying gives 45q − 30 = 465, so q = 11. Rachna has 11 quarters, which is choice B.

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