Library / /333 of 413

, 1998

Algebra Difficulty 2.0 Junior Find the answer Canada

A sum of money is to be divided among Allan, Bill and Carol. Allan receives $\$1$ plus one-third of what is left. Bill then receives $\$6$ plus one-third of what remains. Carol receives the rest, which amounts to $\$40$ . How much did Bill receive?

(A) $\$26$ (B) $\$28$ (C) $\$30$ (D) $\$32$ (E) $\$34$

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.