Problem

2023 AMC 12A Problem 2

The weight of \tfrac13 of a large pizza together with 3\tfrac12 cups of orange slices is the same as the weight of \tfrac34 of a large pizza together with \tfrac12 cup of orange slices. A cup of orange slices weighs \tfrac14 of a pound. What is the weight, in pounds, of a large pizza?

\textbf{(A)} 1\tfrac45 \qquad \textbf{(B)} 2 \qquad \textbf{(C)} 2\tfrac25 \qquad \textbf{(D)} 3 \qquad \textbf{(E)} 3\tfrac35


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


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