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CEMC Gauss (Grade 8), 2026

Algebra Difficulty 1.4 Junior Find the answer Canada

The mass of a serving tray is $4$ times the mass of a plate. A waiter is
holding a serving tray with a stack of $6$ plates on the tray. If the combined
mass of the tray and the plates is $3000~\text{g}$ , what is the mass of each
plate?

Pick one

Solution

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

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

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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.