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Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

A box contains apples and pears. An equal number of apples and pears are rotten. $\frac{2}{3}$ of all of the apples are rotten. $\frac{3}{4}$ of all of the pears are rotten. What fraction of the total number of pieces of fruit in the box is rotten?

(A) $\frac{17}{24}$ (B) $\frac{7}{12}$ (C) $\frac{5}{8}$ (D) $\frac{12}{17}$ (E) $\frac{5}{7}$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.