Question 18
Let points $A=(0,0),$ $B=(1,2),$ $C=(3,3),$ and $D=(4,0).$ Quadrilateral $ABCD$ is cut into equal area pieces by a line passing through $A.$ This line intersects $\overline{CD}$ at point $\left(\dfrac{p}{q}, \dfrac{r}{s}\right),$ where these fractions are in lowest terms. What is $p+q+r+s?$