Maths Olympiad Prep

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Problem 346

Algebra Difficulty 2.0 Find the answer CEMC Fermat · Canada · 2011

Xavier, Yolanda, and Zixuan have a total of $50\$50. The ratio of the amount Xavier has to the total amount Yolanda and Zixuan have is 3:23:2. Yolanda has $4\$4 more than Zixuan. How much does Zixuan have?

(A) $16\$16 (B) $8\$8 (C) $14\$14 (D) $13\$13 (E) $30\$30

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.