College

The average blue whale weighs 300,000 pounds (136,000 kilograms). The average man is [tex]\frac{1}{1,818}[/tex] the weight of a blue whale. How much does the average man weigh in pounds?

Select one of the four options:

A. [tex]234 \frac{7}{303}[/tex] lbs
B. [tex]205 \frac{3}{890}[/tex] lbs
C. [tex]242 \frac{7}{425}[/tex] lbs
D. [tex]165 \frac{5}{303}[/tex] lbs

Answer :

To find the weight of the average man based on the given information, we need to follow these steps:

1. Understand the Ratio Given:
We are told that the average man is [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale.

2. Weight of the Blue Whale:
The average blue whale weighs 300,000 pounds.

3. Calculate the Average Man's Weight:
To find the weight of the average man, we multiply the weight of a blue whale by the given ratio:

[tex]\[
\text{Man's weight} = \frac{1}{1,818} \times 300,000
\][/tex]

4. Compute the Weight:
The multiplication gives us:

[tex]\[
\text{Man's weight} = 165.016501650165 \text{ pounds}
\][/tex]

5. Match the Result to Given Options:
Now, look for the weight that matches as closely as possible to the calculated result. We express the number as a mixed fraction if needed for comparison:

- The calculated weight, 165.016501650165, is approximately 165 [tex]\(\frac{5}{303}\)[/tex] pounds when expressed as a mixed fraction.

6. Select the Correct Option:
Among the options provided, [tex]\(165 \frac{5}{303}\)[/tex] pounds is the closest match to our calculated result.

Therefore, the correct choice is [tex]\(165 \frac{5}{303}\)[/tex] pounds.