MathDB
1000 balls of dough 0.38 and 5000 balls of dough 0.038 in boxes

Source: 2012 Cuba MO 1.1

September 18, 2024
combinatoricsalgebra

Problem Statement

There are 10001000 balls of dough 0.380.38 and 50005000 balls of dough 0.0380.038 that must be packed in boxes. A box contains a collection of balls whose total mass is at most 11. Find the smallest number of boxes that they are needed.