Maths Olympiad Prep

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, 2024

Algebra Difficulty 1.4 Junior Find the answer Canada

The Cayley Corner Store sells three types of toys: Exes, Wyes and
Zeds. All Exes are identical, all Wyes are identical, and all Zeds are
identical. The mass of 22 Exes
equals the mass of 2929 Wyes. The
mass of 11 Zed equals the mass of
1616 Exes. The mass of 11 Zed equals the mass of how many
Wyes?

Pick one

Solution

Since the mass of 22 Exes
equals the mass of 2929 Wyes, then
the mass of 8×28 \times 2 Exes equals
the mass of 8×298 \times 29 Wyes.

In other words, the mass of 1616 Exes
equals the mass of 232232 Wyes.

Since the mass of 11 Zed equals the
mass of 1616 Exes, then the mass of
11 Zed equals the mass of 232232 Wyes.

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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.