AMC 12 2023a Problem 2

The weight of $\frac{1}{3}$ of a large pizza together with $3 \frac{1}{2}$ cups of orange slices is the same weight of $\frac{3}{4}$ of a large pizza together with $\frac{1}{2}$ cups of orange slices. A cup of orange slices weigh $\frac{1}{4}$ of a pound. What is the weight, in pounds, of a large pizza?

$\textbf{(A) }1\frac{4}{5} \textbf{(B) }2 \textbf{(C) }2\frac{2}{5} \textbf{(D) }3 \textbf{(E) }3\frac{3}{5}$