A beekeeper has 600,000 bees living in four beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have? Choose the correct choice from the following answers.
A) 20,000 B) 176470 C) 10000 D) 13000 E) 56600
x be the # of bees in the hive with the max # of bees. Let other hives have same # of bees. So, x+3*(0.8)*x = 600,000 =&gt; 3.4x = 600,000 =&gt; x = 176470.   176470 is the answer.
<result>B</result>
A beekeeper has 600,000 bees living in four beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?