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math

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PLEASE HELP ME.
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?

  • math -

    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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