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percentages in a survey

Source: 2023 South Russian Girls MO - Assara Juniors p1

February 28, 2024
algebra

Problem Statement

A survey of participants was conducted at the Olympiad. 50%50\% of the participants liked the first round, 60%60\% of the participants liked the second round, 70%70\% of the participants liked the opening of the Olympiad. It is known that each participant liked either one option or all three. Determine the percentage of participants who rated all three events positively.