Maths Olympiad Prep

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, 2026

Algebra Difficulty 1.4 Junior Find the answer Canada

The mass of a serving tray is 44 times the mass of a plate. A waiter is
holding a serving tray with a stack of 66 plates on the tray. If the combined
mass of the tray and the plates is 3000 g3000~\text{g}, what is the mass of each
plate?

Pick one

Solution

The mass of a serving tray is 44 times the mass of a plate, and so the
combined mass of a tray and 6 plates is equivalent to the mass of 4+6=104+6=10 plates.

If the mass of 1010 plates is 3000 g3000 \text{ g}, then the mass of each
plate is 3000\text{3000} g}}{10}=300
\text{} g}$.

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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.