MathDB

MMO 337 Moscow MO 1956 15 / umber of tree’s leaves

Source:

August 19, 2019

number theoryalgebra

Problem Statement

* Assume that the number of a tree’s leaves is a multiple of

15

. Neglecting the shade of the trunk and branches prove that one can rip off the tree

7/15

of its leaves so that not less than

8/15

of its shade remains.