some researchers needed to estimate how many catfish were in a local river, so they marked 280 catfish with…

some researchers needed to estimate how many catfish were in a local river, so they marked 280 catfish with tags. later, the researchers trapped 540 catfish, of which 27 had tags. to the nearest whole number, what is the best estimate for the catfish population?

some researchers needed to estimate how many catfish were in a local river, so they marked 280 catfish with tags. later, the researchers trapped 540 catfish, of which 27 had tags. to the nearest whole number, what is the best estimate for the catfish population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total cat - fish population. The proportion is $\frac{280}{x}=\frac{27}{540}$.

Step2: Cross - multiply

$27x = 280\times540$.

Step3: Solve for $x$

$x=\frac{280\times540}{27}$. First, calculate $280\times540 = 151200$. Then, $\frac{151200}{27}=5600$.

Answer:

5600