There are $1000$ balls of dough $0.38$ and $5000$ balls of dough $0.038$ that must be packed in boxes. A box contains a collection of balls whose total mass is at most $1$. Find the smallest number of boxes that they are needed.
Source: 2012 Cuba MO 1.1
Tags: combinatorics, algebra
There are $1000$ balls of dough $0.38$ and $5000$ balls of dough $0.038$ that must be packed in boxes. A box contains a collection of balls whose total mass is at most $1$. Find the smallest number of boxes that they are needed.