Maths Olympiad Prep

Library / CEMC Pascal /57 of 603

CEMC Pascal, 1998

Algebra Difficulty 1.0 Junior Find the answer Canada

Four points are on a line segment, as shown. If AB:BC=1:2AB:BC = 1:2 and BC:CD=8:5BC:CD = 8:5, then AB:BDAB:BD equals

(A) 4:134:13 (B) 1:131:13 (C) 1:71:7 (D) 3:133:13 (E) 4:174:17

Figure for this problem

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.