Of the 50 fish that Alan caught from the lake, 14 were trout. The estimated population of the lake is 7,500 fish. About how many trout would you expect to be in the lake

Respuesta :

Well do percentage. percent is mostly related to 100. so let's double the amount of fish caught all together. to make it 100 that you caught so that means you caught 28 trout..so you have to find 28% of 7500
How many 100s make 7500? 75
so multiply 75×28= 2100(2100 would be 28% of 7500)
now remember we doubled to get an easy%.
Now divide 2100÷2= 1050
estimate of trout 1050

Number of expected trout fishes in the lake  = 2100

Total number of fish caught from lake = 50

Out of the total fish 14 were trout fish

so the percentage of the trout fish in the total caught fish = (14/50) [tex]\times[/tex] 100

= 28%

The estimated population of fish in the pond  = 7500 (given )

Let us suppose that the number of total trout fish in the pond = x

Considering the uniform fish distribution in the pond we write  

[tex]\dfrac{x}{7500} = \dfrac{28}{100}[/tex]    ......... (1)  

hence solving for x gives us

x = 75 [tex]\times[/tex] 28

x =  2100

For more information  about percentage refer to the link below :

https://brainly.com/question/15812504