MathNet 2004 — Part 01 Question 173

Let $O$ be an interior point of $\triangle ABC$ such that $\overrightarrow{OA} + 2 \overrightarrow{OB} + 3 \overrightarrow{OC} = 0$. Then the ratio of the area of $\triangle ABC$ to the area of $\triangle AOC$ is ( ).