![Diagram of the problem](https://i.stack.imgur.com/6w8x1.png)

The area of the triangle is 85 square centimetres, the side $AB$ is divided by the point $P$ so that the ratio $BP:AP$ is 1:4 and the side $AC$ is divided by $Q$ so that the ratio $AQ:CQ$ is 2:3. Find the area of $\triangle BXC$ and the ratios $BX:XQ$ and $CX:XP$.

I have found that $\triangle AQB$ = 34, $\triangle BXC$ = 68, $\triangle QCB$ = 51 and $\triangle PBC$ = 17. However, I cannot find a way to determine the area of $\triangle BXC$ with the information that I have found