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Algebra Difficulty 1.0 Junior Find the answer Canada

Beshmi invested $\dfrac{1}{5}$ of her savings in Company X, $42\%$ in Company Y, and the remainder in Company Z. If Beshmi invested $\$10\,500$ in Company Y, how much did she invest in Company Z?

(A) $\$25\,000$ (B) $\$15\,500$ (C) $\$14\,000$ (D) $\$9500$ (E) $\$5000$

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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.