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Answer :
To determine how much the average man weighs in pounds when he is [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale, follow these steps:
1. Find the Weight Ratio: We are given that the average man's weight is [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale.
2. Average Weight of a Blue Whale: The average blue whale weighs 300,000 pounds.
3. Calculate the Weight of the Average Man: Multiply the weight of the blue whale by the weight ratio to find the weight of the average man.
[tex]\[
\text{Man's weight} = 300,000 \times \frac{1}{1,818}
\][/tex]
4. Perform the Multiplication:
[tex]\[
\text{Man's weight} = 165.016501650165\ldots \text{ pounds}
\][/tex]
5. Select the Closest Answer: Compare this result with the given choices:
- [tex]\(165 \frac{5}{303}\)[/tex] lbs
- [tex]\(242 \frac{7}{425}\)[/tex] lbs
- [tex]\(234 \frac{7}{303}\)[/tex] lbs
- [tex]\(205 \frac{3}{890}\)[/tex] lbs
The closest value to 165.016501650165... is:
- [tex]\(165 \frac{5}{303}\)[/tex] lbs
Therefore, the average man weighs approximately [tex]\(165 \frac{5}{303}\)[/tex] pounds.
1. Find the Weight Ratio: We are given that the average man's weight is [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale.
2. Average Weight of a Blue Whale: The average blue whale weighs 300,000 pounds.
3. Calculate the Weight of the Average Man: Multiply the weight of the blue whale by the weight ratio to find the weight of the average man.
[tex]\[
\text{Man's weight} = 300,000 \times \frac{1}{1,818}
\][/tex]
4. Perform the Multiplication:
[tex]\[
\text{Man's weight} = 165.016501650165\ldots \text{ pounds}
\][/tex]
5. Select the Closest Answer: Compare this result with the given choices:
- [tex]\(165 \frac{5}{303}\)[/tex] lbs
- [tex]\(242 \frac{7}{425}\)[/tex] lbs
- [tex]\(234 \frac{7}{303}\)[/tex] lbs
- [tex]\(205 \frac{3}{890}\)[/tex] lbs
The closest value to 165.016501650165... is:
- [tex]\(165 \frac{5}{303}\)[/tex] lbs
Therefore, the average man weighs approximately [tex]\(165 \frac{5}{303}\)[/tex] pounds.
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