Maths Olympiad Prep

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, 2010

Algebra Difficulty 1.0 Junior Find the answer Canada

There are 400 students at Pascal H.S., where the ratio of boys to girls is 3:23:2. There are 600 students at Fermat C.I., where the ratio of boys to girls is 2:32:3. When considering all the students from both schools, what is the ratio of boys to girls?

(A) 2:32:3 (B) 12:1312:13 (C) 1:11:1 (D) 6:56:5 (E) 3:23:2

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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.