Question 179
Let $A C E$ be a triangle with a point $B$ on segment $A C$ and a point $D$ on segment $C E$ such that $B D$ is parallel to $A E$. A point $Y$ is chosen on segment $A E$, and segment $C Y$ is drawn. Let $X$ be the intersection of $C Y$ and $B D$. If $C X=5, X Y=3$, what is the ratio of the area of trapezoid $A B D E$ to the area of triangle $B C D$?