2023 AMC 12A Problem 8

Maureen is keeping track of the mean of her quiz scores this semester. If Maureen scores an 11 on the next quiz, her mean will increase by 1. If she scores an 11 on each of the next three quizzes, her mean will increase by 2. What is the mean of her quiz scores currently?

\textbf{(A)} 4 \qquad \textbf{(B)} 5 \qquad \textbf{(C)} 6 \qquad \textbf{(D)} 7 \qquad \textbf{(E)} 8

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