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 following options:

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

Answer :

To find out how much the average man weighs in pounds, given that his weight is [tex]\(\frac{1}{1,818}\)[/tex] of the weight of an average blue whale, we can follow these steps:

1. Understand the Given Information:
- The average weight of a blue whale is 300,000 pounds.
- The average man's weight is [tex]\(\frac{1}{1,818}\)[/tex] of the blue whale's weight.

2. Calculate the Weight of the Average Man:
- To find the weight of the average man, we need to multiply the weight of the blue whale by [tex]\(\frac{1}{1,818}\)[/tex].
- This calculation looks like the following:
[tex]\[
\text{Average man's weight} = 300,000 \times \frac{1}{1,818}
\][/tex]

3. Determine the Result:
- Performing the multiplication, we get that the average man weighs approximately 165.016501650165 pounds.

4. Select the Correct Fractional Form:
- Comparing this result with the given multiple-choice options, the closest match in fractional form for 165.016501650165 pounds is [tex]\(165 \frac{5}{303}\)[/tex] pounds.

Therefore, the average man weighs [tex]\(165 \frac{5}{303}\)[/tex] pounds.