2023 Pascal Problem 17

In a survey, 100 students were asked if they like lentils and were also asked if they like chickpeas. A total of 68 students like lentils. A total of 53 like chickpeas. A total of 6 like neither lentils nor chickpeas. How many of the 100 students like both lentils and chickpeas?

\textbf{(A)}\ 32\quad \textbf{(B)}\ 27\quad \textbf{(C)}\ 26\quad \textbf{(D)}\ 21\quad \textbf{(E)}\ 15

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.