TOT 359 1993 Spring O J2 cats and dogs , two houses with 2 flats each
Source:
June 10, 2024
combinatorics
Problem Statement
Each of two houses and is divided into two flats. Several cats and dogs live there. It is known that the fraction of cats in the first flat of (the ratio between the number of cats and the total number of animals in the flat) is greater than the fraction of cats in the first flat of , and the fraction of cats in the second flat of is greater than the fraction of cats in the second flat of . Is it true that the fraction of cats in house is greater than the fraction of cats in house ? (AK Kovaldji)