AMC 10 2020a Problem 9

A single bench section at a school event can hold either $7$ adults or $11$ children. When $N$ bench sections are connected end to end, an equal number of adults and children seated together will occupy all the bench space. What is the least possible positive integer value of $N?$ $\textbf{(A) } 9 \textbf{(B) } 18 \textbf{(C) } 27 \textbf{(D) } 36 \textbf{(E) } 77$