2022 Pascal Problem 16

Alvin, Bingyi and Cheska play a two-player game that never ends in a tie. In a recent tournament between the three players, a total of 60 games were played and each pair of players played the same number of games.

- When Alvin and Bingyi played, Alvin won 20\% of the games. - When Bingyi and Cheska played, Bingyi won 60\% of the games. - When Cheska and Alvin played, Cheska won 40\% of the games.

How many games did Bingyi win?

\textbf{(A)}\ 12\quad \textbf{(B)}\ 24\quad \textbf{(C)}\ 28\quad \textbf{(D)}\ 30\quad \textbf{(E)}\ 36

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 Pascal contests here.