Answer:
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,
[tex]\frac{\text{Original number of trout caught}}{\text{ total number trouts}} = \frac{\text{number of trouts with tag from the caught tag}}{\text{total number of trouts caught}}[/tex]
Substituting the values,
[tex]\frac{166}{x}=\frac{33}{11}[/tex]
Now applying the cross product principle,
[tex]166 \times 33= 11\times x[/tex]
[tex]5478= 11\times x[/tex]
[tex]x=\frac{5478}{11}[/tex]
[tex]x=498[/tex]
