5. In an arbitrary triangular pyramid $A B C D$, a section is made by a plane intersecting the edges $A B, D C$, and $D B$ at points $M, N, P$ respectively. Point $M$ divides edge $A B$ in the ratio $A M: M B=1: 2$. Point $N$ divides edge $D C$ in the ratio $D N: N C=3: 2$. Point $P$ divides edge $D B$ in the ratio $D P: P B=2$. Find the ratio $A Q: Q C$.
Answer: $A Q: Q C=3: 8$.

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