High School

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:

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 determine the weight of the average man in pounds, we need to focus on the given weight of a blue whale and the ratio provided.

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

2. Set Up the Equation:
- We will calculate the man’s weight by multiplying the whale's weight by the fraction that represents the ratio.

3. Calculate the Weight:
- The calculation is as follows: [tex]\(300,000 \times \frac{1}{1,818} = 165.016501650165\)[/tex].

4. Find the Closest Match:
- The result is approximately 165.0165 pounds.
- Among the options given:
- [tex]\(234 \frac{7}{303}\)[/tex] (does not match)
- [tex]\(165 \frac{5}{303}\)[/tex] (matches closely)
- [tex]\(242 \frac{7}{425}\)[/tex] (does not match)
- [tex]\(205 \frac{3}{890}\)[/tex] (does not match)
- Therefore, the correct option is approximately [tex]\(165 \frac{5}{303}\)[/tex] pounds.

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