Answer:
264.
Step-by-step explanation:
Let x represent the number of trout in the lake.
We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.
Using proportions, we will get:
[tex]\frac{\text{Total trouts}}{\text{Tagged trouts}}=\frac{48}{22}[/tex]
[tex]\frac{x}{121}=\frac{48}{22}[/tex]
[tex]\frac{x}{121}*121=\frac{48}{22}*121[/tex]
[tex]x=\frac{24}{11}*121[/tex]
[tex]x=24*11[/tex]
[tex]x=264[/tex]
Therefore, there would be approximately 264 trout in the lake.
264 trouts are estimated to be in the lake.
Using proportion, we write: Tagged trout/Total Trout
This becomes 22/48.
In order to use cross multiplication, we write another fraction using x, the total number of trout in the lake: 121/x.
Now we have 121/x=22/48.
We cross multiply.
121*48=22x.
(121*48)/22 becomes:
264.
