Busing tables
brian buses tables at a local café. to bus a table, he must clear the dirty dishes and reset the table for the next set of customers.
one night he noticed that for every three-fifths of a table that he bused, another table of customers would get up and leave. he also noticed that right after he finished busing a table, a new table of customers would come into the restaurant. however, once every table was empty (no diners were left in the restaurant), nobody else came into the restaurant.
suppose there were six tables with customers and one unbused table. how many new tables of customers would come in before the restaurant was empty? after the
last table of customers had left, how many tables were unbused?