Problem

2023 AMC 8 Problem 10

Harold made a plum pie to take on a picnic. He was able to eat only \frac{1}{4} of the pie, and he left the rest for his friends. A moose came by and ate \frac{1}{3} of what Harold left behind. After that, a porcupine ate \frac{1}{3} of what the moose left behind. How much of the original pie still remained after the porcupine left?

\textbf{(A)} \dfrac{1}{12} \qquad \textbf{(B)} \dfrac{1}{6} \qquad \textbf{(C)} \dfrac{1}{4} \qquad \textbf{(D)} \dfrac{1}{3} \qquad \textbf{(E)} \dfrac{5}{12}


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


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