2006 Cayley Problem 19

In a bin at the Cayley Convenience Store, there are 200 candies. Of these candies, 90\% are black and the rest are gold. After Yehudi eats some of the black candies, 80\% of the remaining candies in the bin are black. How many black candies did Yehudi eat?

\textbf{(A)}\ 2\quad \textbf{(B)}\ 20\quad \textbf{(C)}\ 40\quad \textbf{(D)}\ 100\quad \textbf{(E)}\ 160

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

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.