2023 AMC 10A Problem 16

In a table tennis tournament every participant played every other participant exactly once. Although there were twice as many right-handed players as left-handed players, the number of games won by left-handed players was 40\% more than the number of games won by right-handed players. (There were no ties and no ambidextrous players.) What is the total number of games played?

\textbf{(A)} 15 \qquad \textbf{(B)} 36 \qquad \textbf{(C)} 45 \qquad \textbf{(D)} 48 \qquad \textbf{(E)} 66

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.