pancakes
Source: (2022-) 2023 XVI 16th Dürer Math Competition Finals Day 2 E12
May 25, 2024
number theory
Problem Statement
Marvin really likes pancakes, so he asked his grandma to make pancakes for him. Every time Grandma sends pancakes, she sends a package of . When Marvin is in the mood for pancakes, he eats half of the pancakes he has. Marvin ate pancakes for lunch today. At least how many times has Grandma sent pancakes to Marvin so far? Marvin does not necessarily eat an integer number of pancakes at once, and he is in the mood for pancakes at most once a day.