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AMO 2027 Grades 2-3 SET 18 - Self-study Question 3

AMO · AMO 2027 Grades 2-3 SET 18 - Self-study

Question 3

Alice read 5 pages of storybook on the first day. She read 10 pages of the same storybook on the second day, 15 pages on the third day and so on. How many pages had the storybook at most if Alice finished reading it on the 10 day?

Self-study reading model (editorial): planned daily new-page reading increases by 5 pages each day. She reads the full planned amount before the final day; she may stop sooner on day 10 if the book ends. Find the maximum whole-page total.