2021 Gauss 8 Problem 17

Gaussville's soccer team won 40\% of their first 40 games. They went on to win n games in a row. At this point, they had won 50\% of the total games they had played. What is the value of n?

\textbf{(A)}\ 4\quad \textbf{(B)}\ 10\quad \textbf{(C)}\ 12\quad \textbf{(D)}\ 8\quad \textbf{(E)}\ 9

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 Gauss contests here.