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, 2007

Algebra Difficulty 1.0 Junior Prove it Canada

In Aisle 2, Jim receives the following answers to his questions: Question: 'What is the sum of the prices of a Mango and a Nectarine?' Answer: $60$ cents. Question: 'What is the sum of the prices of a Pear and a Nectarine?' Answer: $60$ cents. Question: 'What is the sum of the prices of a Mango and a Pear?' Answer: $68$ cents. What is the price of a Pear? Explain how you obtained your answer.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.