2022 Fermat Problem 9

It takes Pearl 7 days to dig 4 holes. It takes Miguel 3 days to dig 2 holes. If they work together and each continues digging at these same rates, how many holes in total will they dig in 21 days?

\textbf{(A)}\ 35\quad \textbf{(B)}\ 22\quad \textbf{(C)}\ 12\quad \textbf{(D)}\ 26\quad \textbf{(E)}\ 28

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 Fermat contests here.