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Answer :
To solve this problem, we need to find out how much an average man weighs in pounds if he is [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale.
1. Identify the weight of a blue whale:
The average blue whale weighs 300,000 pounds.
2. Determine the ratio of an average man's weight to the weight of a blue whale:
According to the problem, the average man weighs [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale.
3. Calculate the average weight of a man:
To find the man's weight, multiply the blue whale's weight by this ratio:
[tex]\[
\text{Man's weight} = 300,000 \times \frac{1}{1,818}
\][/tex]
This simplifies to calculating:
[tex]\[
\text{Man's weight} = \frac{300,000}{1,818}
\][/tex]
4. Calculate the result:
When you do the division, you find that an average man's weight is approximately 165.016501650165 pounds.
5. Select the closest answer from the given options:
The result rounds to [tex]\(165 \frac{5}{303}\)[/tex] pounds, which matches the provided choice.
Therefore, the average man weighs about [tex]\(165 \frac{5}{303}\)[/tex] pounds.
1. Identify the weight of a blue whale:
The average blue whale weighs 300,000 pounds.
2. Determine the ratio of an average man's weight to the weight of a blue whale:
According to the problem, the average man weighs [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale.
3. Calculate the average weight of a man:
To find the man's weight, multiply the blue whale's weight by this ratio:
[tex]\[
\text{Man's weight} = 300,000 \times \frac{1}{1,818}
\][/tex]
This simplifies to calculating:
[tex]\[
\text{Man's weight} = \frac{300,000}{1,818}
\][/tex]
4. Calculate the result:
When you do the division, you find that an average man's weight is approximately 165.016501650165 pounds.
5. Select the closest answer from the given options:
The result rounds to [tex]\(165 \frac{5}{303}\)[/tex] pounds, which matches the provided choice.
Therefore, the average man weighs about [tex]\(165 \frac{5}{303}\)[/tex] pounds.
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