Maths Olympiad Prep

Library / CEMC Fermat /92 of 566

CEMC Fermat, 2008

Algebra Difficulty 1.0 Junior Find the answer Canada

Beshmi invested 15\dfrac{1}{5} of her savings in Company X, 42%42\% in Company Y, and the remainder in Company Z. If Beshmi invested $10 500\$10\,500 in Company Y, how much did she invest in Company Z?

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

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.