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Algebra Difficulty 1.0 Junior Find the answer Canada

In a set of five numbers, the average of two of the numbers is $12$ and the average of the other three numbers is $7$ . The average of all five numbers is

(A) $8\frac{1}{3}$ (B) $8\frac{1}{2}$ (C) $9$ (D) $8\frac{3}{4}$ (E) $9\frac{1}{2}$

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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.