MathDB
Child camps

Source: St Petersburg Olympiad 2015, Grade 10, P1

October 17, 2017
number theory

Problem Statement

There is child camp with some rooms. Call room as 4−4-room, if 44 children live here. Not less then half of all rooms are 4−4-rooms , other rooms are 3−3-rooms. Not less than 2/32/3 girls live in 3−3-rooms. Prove that not less than 35%35\% of all children are boys.
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