2023 AMC 10A Problem 8

Barb the baker creates a new temperature system for baking bread, Breadus, which is linearly based on Fahrenheit. Bread rises at 110\text{ F}^{\circ}, which is 0 on the Breadus scale. Bread bakes at 350\text{ F}^{\circ}, which is 100 on the Breadus scale. Bread is done when its internal temperature is 200\text{ F}^{\circ}. What is this temperature on the Breadus scale?

\textbf{(A)} 33 \qquad \textbf{(B)} 34.5 \qquad \textbf{(C)} 36 \qquad \textbf{(D)} 37.5 \qquad \textbf{(E)} 39

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