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, 2024

Algebra Difficulty 1.2 Junior Find the answer Canada

Shuxin begins with $10$ red
candies, $7$ yellow candies, and
$3$ blue candies. After eating some
of the candies, there are equal numbers of red, yellow, and blue candies
remaining. What is the smallest possible number of candies that Shuxin
ate?

Pick one

Solution

Since $\angle PQR$ is a
straight angle, its measure is $180\degree$ . Thus, the angles with
measures $146\degree$ and $x\degree$ add to $180\degree$ , and so the value of $x$ is $180-146=34$ .

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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.