2023 Fermat Problem 9

Three tanks contain water. The number of litres in each is shown in the table below:

\begin{array}{|c|c|c|}\hline \text{Tank A} & \text{Tank B} & \text{Tank C} \\ \hline 3600 \text{ L} & 1600 \text{ L} & 3800 \text{ L} \\ \hline \end{array}

Water is moved from each of Tank A and Tank C into Tank B so that each tank contains the same volume of water. How many litres of water are moved from Tank A to Tank B?

\textbf{(A)}\ 500 \text{ L}\quad \textbf{(B)}\ 600 \text{ L}\quad \textbf{(C)}\ 700 \text{ L}\quad \textbf{(D)}\ 800 \text{ L}\quad \textbf{(E)}\ 900 \text{ L}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.