1976 AHSME Problem 9

In triangle ABC, D is the midpoint of AB; E is the midpoint of DB; and F is the midpoint of BC. If the area of \triangle ABC is 96, then the area of \triangle AEF is

\textbf{(A) }16\qquad \textbf{(B) }24\qquad \textbf{(C) }32\qquad \textbf{(D) }36\qquad \textbf{(E) }48

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.