Problem
of the
Week

PROBLEM 180

Three houses sit on adjoining lots on a street which runs east-west.  Just to the west of the westernmost home is a large tree which drops a large number of leaves in the fall.  After carefully observing the leaves blow around the neighborhood over several day, one of the homes' occupants has noticed that of the leaves that reach his yard on any given day 10% turn to mulch there, 60% blow into the yard of the neighbor to the east, while the remaining 30% of the leaves blow into the yard of the neighbor to the west.  Once the leaves leave the easternmost yard to the east or the westernmost yard to the west they never return.  What percent of the original leaves are blown away to the east of the homes? 

You are visitor number  3471 to this page.
ã2003 Alberto L. Delgado