To determine the number of trout in a lake, a conservationist catches 166 trout, tags them and throws them back into the lake. later, 33 trout are caught; 11 of them are tagged. how many trout would the conservationist expect to be in the lake?

There are 498 trouts in the lake

Step-by-step explanation:

Given:

Number of  trouts catch by the conservationist to tag =166

Number of trouts catch later=33

Number of trouts with tags among 33 trouts = 11

To find:

Total number of trouts in the lake=?

Solution:

According to proportionality,

Substituting the values,

Now applying the cross product principle,

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