Question 8
In triangle $ABC$, points $E$ and $D$ are on side $AC$ and point $F$ is on side $BC$ such that $AE=ED=DC$ and $BF:FC=2:3$. $AF$ intersects $BD$ and $BE$ at points $P$ and $Q$, respectively. Find the ratio of the area $EDPQ$ to the area of $ABC$.
