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MathNet 2022-part-06 — 196 problems (EN–VI) Question 24

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 24

Aerith bakes some cookies. On the first day, she gives away 1 cookie and then $1/8$ of the remaining cookies; on the second day, she gives away 2 cookies and then $1/8$ of the remaining cookies, and so on. On the 7th day, she gives away 7 cookies and then there are none left. How many cookies did she bake?