Problem #PRU-35627

Problems Methods Pigeonhole principle Pigeonhole principle (other) Set theory and logic Set theory Set theory (other) Algebra Fractions Simple fractions

Problem

A hostess bakes a cake for some guests. Either 10 or 11 people can come to her house. What is the smallest number of pieces she needs to cut the cake into (in advance) so that it can be divided equally between 10 and 11 guests?