2010 Fermat Problem 12

When k candies were distributed among seven people so that each person received the same number of candies and each person received as many candies as possible, there were 3 candies left over. If instead, 3k candies were distributed among seven people in this way, then the number of candies left over would have been

\textbf{(A)}\ 1\quad \textbf{(B)}\ 2\quad \textbf{(C)}\ 3\quad \textbf{(D)}\ 6\quad \textbf{(E)}\ 9

If there are no answer choices shown, enter a numerical answer.

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