Maths Olympiad Prep

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Geometry Difficulty 1.4 Junior Find the answer Canada

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

IMG0

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Solution

In 1.00worthofdimes,thereare1.00 worth of dimes, there are $1.00$0.10=10\dfrac{\$1.00}{\$0.10}=10dimes.In dimes. In 1.00 worth of quarters, there are $1.00$0.25=4\dfrac{\$1.00}{\$0.25}=4 quarters. The jar contains 10 dimes and a total of 10+4=1410+4=14 coins. If Terry randomly removes one coin from the jar, the probability that it is a dime is 1014=57\dfrac{10}{14}=\dfrac{5}{7}.

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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.