SOLUTION: The department of fish and game caught, tagged, and released 120 sea turtles into Biscayne bay. Later, 87 sea turtles were caught and 45 of these have been tagged. About how many s

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Question 1136810: The department of fish and game caught, tagged, and released 120 sea turtles into Biscayne bay. Later, 87 sea turtles were caught and 45 of these have been tagged. About how many sea turtles are in the bay?

Answer by ikleyn(52803) About Me  (Show Source):
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The department of fish and highlight%28cross%28game%29%29 turtles caught, tagged, and released 120 sea turtles into Biscayne bay.
Later, 87 sea turtles were caught and 45 of these have been tagged. About how many sea turtles are in the bay?
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This problem is traditionally solved using proportions.


It is considered as very likelihood that the ratio of all turtles in the lake to the caught turtles in the first experiment 

is the same as the ratio of the taught in the second experiment to the number of tagged among them:


    x%2F120 = 87%2F45.


From the proportion,


    x = %28120%2A87%29%2F45 =  232.


ANSWER.  The estimation is 232 turtles there are in the lake.

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On proportions,  see the lessons
    - Proportions
    - Using proportions to solve word problems
    - Using proportions to solve word problems in Physics
    - Using proportions to solve Chemistry problems
    - Using proportions to estimate the number of fish in a lake (*)
    - HOW TO algebreze and solve these problems using proportions
    - OVERVIEW of lessons on proportions
in this site.

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This problem is traditionally formulated for lakes,  since with closed bodies of water the researchers are guaranteed
that both times they experiment with the same population.