Maths Olympiad Prep

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, 2023

Algebra Difficulty 1.3 Junior Find the answer Canada

In a salad dressing, the ratio of oil to vinegar is 3:13:1. To make the dressing more acidic,
the amount of vinegar is doubled. What is the new ratio of oil to
vinegar?

Pick one

Solution

The line segment with greatest length that joins two points on a
circle is a diameter of the circle. Since the circle has a radius of 4
cm, then its diameter has length $2×4\$2\times4 \text{} cm}=8$ cm, and so the greatest possible length of the
line segment is 8 cm.

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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.