SOLUTION: A certain kind of bacteria triples every 2 hours.At 8:00 P.M.,there was 153,090 bacteria counted in the petri dish.How many were there at 6:00 A.M.?

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Question 541307: A certain kind of bacteria triples every 2 hours.At 8:00 P.M.,there was 153,090 bacteria counted in the petri dish.How many were there at 6:00 A.M.?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A certain kind of bacteria triples every 2 hours.
At 8:00 P.M., there was 153,090 bacteria counted in the petri dish.
How many were there at 6:00 A.M.?
:
153,090 after 14 hrs
:
Let Ao = initial amt at 6 AM
:
Ao%2A3%5E%2814%2F2%29 = 153090
that's 14/2 so we have
Ao%2A3%5E7 = 153090
Ao*2187 = 153090
Ao = 153090%2F2187
Ao = 70 bacteria at 6 AM