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Problem 557

Algebra Difficulty 2.5 Multiple choice CEMC Pascal · Canada · 2024

The value of $\dfrac{x}{2}$ is
less than the value of $x^2$ .
The value of $x^2$ is less than the
value of $x$ .
Which of the following could be a value of $x$ ?

Pick one

Official solution

After Brett pours half of his $300 \text{ mL}$ of water out, he has $150 \text{ mL}$ of water remaining in his glass.

Juanita then pours $20\%$ of her
$300 \text{ mL}$ or $0.20\times 300\text{ mL}=60\text{ mL}$ of
water into Brett’s glass.

The volume of water now in Brett’s glass is $150\text{ mL}+60\text{ mL}=210\text{ mL}$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.