some researchers wanted to monitor the trout population, so they marked 600 trout with tags. later, they…

some researchers wanted to monitor the trout population, so they marked 600 trout with tags. later, they captured 780 trout and found that 26 of them had tags. to the nearest whole number, what is the best estimate for the trout population?

some researchers wanted to monitor the trout population, so they marked 600 trout with tags. later, they captured 780 trout and found that 26 of them had tags. to the nearest whole number, what is the best estimate for the trout population?

Answer

Answer:

18000

Explanation:

Step1: Set up proportion

Let $x$ be the total trout population. The proportion is $\frac{600}{x}=\frac{26}{780}$.

Step2: Cross - multiply

$26x = 600\times780$.

Step3: Calculate right - hand side

$600\times780 = 468000$. So, $26x=468000$.

Step4: Solve for $x$

$x=\frac{468000}{26}=18000$.