Problem #PRU-100341

Problems Set theory and logic Logic and set theory

Problem

The March Hare decided to amuse himself by playing with three red and five blue sticks of various lengths. He noticed that the total length of all red sticks is equal to 30sm, and the total length of all blue sticks is equal to 30sm as well. Can he cut the sticks in such a way that every stick of one colour had a pair stick of the other colour of the same lenghs?