2015 Pascal Problem 19

Krystyna has some raisins. She gives one-third of her raisins to Mike. She then eats 4 raisins, after which she gives one-half of her remaining raisins to Anna. If Krystyna then has 16 raisins left, how many raisins did she have to begin?

\textbf{(A)}\ 42\quad \textbf{(B)}\ 54\quad \textbf{(C)}\ 60\quad \textbf{(D)}\ 84\quad \textbf{(E)}\ 108

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 Pascal contests here.