High School

The average blue whale weighs 300,000 pounds [tex](136,000 \, \text{kilograms})[/tex]. 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 following:

A. [tex]165 \frac{5}{303}[/tex] lbs

B. [tex]242 \frac{7}{425}[/tex] lbs

C. [tex]234 \frac{7}{303}[/tex] lbs

D. [tex]205 \frac{3}{890}[/tex] lbs

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.