MathDB
blondes, brunettes, redheads and brown-haired women

Source: 2022 South Russian Girls MO - Assara Juniors p1

February 28, 2024
algebra

Problem Statement

Blondes, brunettes, redheads and brown-haired women participate in the Olympiad. There are twice as many redheads as brown-haired. Blondes and redheads make up a quarter of the total number of participants, and Brown-haired and Blondes one fifth part. Prove that the number of Brunettes is divisible by 77.