AMC 8 2009 Problem 1

Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy? $\textbf{(A)}\ 3 \textbf{(B)}\ 4 \textbf{(C)}\ 7 \textbf{(D)}\ 11 \textbf{(E)}\ 14$