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Problem 127

Geometry Difficulty 1.4 Multiple choice CEMC Gauss (Grade 8) · Canada · 2022

For the points in the diagram, which statement is true?

Pick one

Official solution

In $1.00 worth of dimes, there are$ $\dfrac{\$1.00}{\$0.10}=10\$$ dimes.

In $1.00 worth of quarters, there are$ $\dfrac{\$1.00}{\$0.25}=4\$$ quarters.

The jar contains 10 dimes and a total of $10+4=14$ coins.

If Terry randomly removes one coin from the jar, the probability that it
is a dime is $\dfrac{10}{14}=\dfrac{5}{7}$ .

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