SOLUTION: To determine the number of in a lake ​, a conservationist catches 450 trout's ​, tags​ them, and releases them. Later 88 are​ caught, and it is found that 45 of them ar

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Question 1196255: To determine the number of in a lake ​, a conservationist catches 450 trout's ​, tags​ them, and releases them. Later 88 are​ caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged in the second sample was the same as the proportion of tagged in the total​ population, estimate the number of in the lake.
Found 3 solutions by math_tutor2020, ikleyn, greenestamps:
Answer by math_tutor2020(3816) About Me  (Show Source):
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Method 1
450/x = 45/88
450/x = 450/880
x = 880
I multiplied top and bottom of the second fraction by 10

Method 2
450/x = 45/88
450*88 = x*45
45x = 39600
x = 39600/45
x = 880
In the second step, I crossed multiplied.

Answer: 880
This is an estimate, so the actual population count will likely be different from this.

Answer by ikleyn(52776) About Me  (Show Source):
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.
To determine the number of highlight%28trouts%29 in a lake ​, a conservationist catches 450 highlight%28trouts%29​, tags​ them, and releases them.
Later 88 highlight%28trouts%29 are​ caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged highlight%28trouts%29
in the second sample was the same as the proportion of tagged highlight%28trouts%29in the total​ population,
estimate the number of highlight%28trouts%29 in the lake.
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See the lesson
    - Using proportions to estimate the number of fish in a lake
in this site.

Find there several other similar solved problems.


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As I understand from the post, the word highlight%28trout%29 is a variable value in the source,
which is changed from case to case to create/produce/generate new problems . . .



Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Just a note of information for you regarding this problem (which has nothing to do with math.)

The plural of trout, "trouts", indicates you are talking about different kinds of trout. The way this problem is worded, the conservationist caught 450 different KINDS of trout (and we don't know how many of each kind he caught).

Assuming the likely case where all the trout are of the same kind, the plural should not be used, so the statement of the problem should say that he caught 450 trout -- not 450 trouts.