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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.
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.
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