Question

can some help on this question
The table below shows the data for a random sample of fish that were collected from and later released into a lake:

Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87


How many grass carps are estimated to be present if a sample of 800 fish is collected from the lake?

Answer 1

Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 \(\color{lightskyblue}{61}\) 87

that is a total of \( 52 +61+ 87 = \color{tomato}{200} \) fish

"How many grass carps are estimated to be present if a sample of 800 fish is collected from the lake? "

we can set up a proportion:
\[ \frac{\color{lightskyblue}{61}}{ \color{tomato}{200}} =\frac{x}{800} \]
\[ \ \ \ \ \ \ \ \Updownarrow \]
\[ 61\times 800=200 \times x \]
\[ \frac{61\times 800}{200}=x \Rightarrow \frac{61\times \cancel{800}}{\cancel{200}}=x \]
\[ \frac{61\times 4}{1}=x \]
\[ \frac{244}{1}=x \Rightarrow \frac{244}{\cancel1}=x \]
\[ 244=x \]

that would be the answer.

Answer 2

Do you still need help on this question?