juan is monitoring the population of wild camels in the deserts of australia. juan catches 126 camels, tags…

juan is monitoring the population of wild camels in the deserts of australia. juan catches 126 camels, tags them, and releases them. a little while later, a helicopter pilot takes an aerial photograph of 894 camels, 54 of which are marked. to the nearest whole number, what is the best estimate for the camel population?

juan is monitoring the population of wild camels in the deserts of australia. juan catches 126 camels, tags them, and releases them. a little while later, a helicopter pilot takes an aerial photograph of 894 camels, 54 of which are marked. to the nearest whole number, what is the best estimate for the camel population?

Answer

Answer:

2078

Explanation:

Step1: Set up proportion

Let $x$ be the total camel - population. The proportion is $\frac{126}{x}=\frac{54}{894}$.

Step2: Cross - multiply

$54x = 126\times894$.

Step3: Calculate the right - hand side

$126\times894=126\times(900 - 6)=126\times900-126\times6=113400 - 756 = 112644$.

Step4: Solve for $x$

$x=\frac{112644}{54}=2086$. Rounding to the nearest whole number gives 2078.