# math

1/5 of bees flew to a cherry tree, 1/3 flew to a clover tree, and 3 times the difference of these 2 numbers buzzed over to a stand of heather. 3 flew around the hive circling and protecting the bee community. The question is, how many bees were there altogether?

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1. First add up the fractions:
1/5 cherry tree
1/3 clover tree
difference = 1/3-1/5=(5-3)/15=2/15
3 times the difference = 2*3/15=2/5
What's left
=1-(1/5+1/3+2/5)
=(15-(3+5+6))/15
=1/15
So 3 bees equal 1/15 of the (small)colony.
Therefore
3*15 equal 15/15=whole colony.

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