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2023 AMC 8 Question 10

AMC8 · 2023 AMC 8

Question 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?
  1. $\dfrac{1}{12}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{3}$
  5. $\dfrac{5}{12}$