College

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

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

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

Answer :

To determine how much the average man weighs in pounds given that the average blue whale weighs 300,000 pounds and the average man is [tex]\(\frac{1}{1,818}\)[/tex] of the weight of a blue whale, follow these steps:

1. Understand the given ratio:
- We are given that the average man is [tex]\(\frac{1}{1,818}\)[/tex] of the weight of a blue whale.

2. Calculate the weight of the man:
- The weight of the average man can be found by multiplying the weight of the blue whale by the given fraction:
[tex]\[
\text{Weight of average man} = 300,000 \text{ pounds} \times \frac{1}{1,818}
\][/tex]

3. Convert the decimal result to a mixed fraction:
- After performing the multiplication, let's say you get a decimal value. At this point, the weight can then be converted into a mixed fraction form.
- Above calculations give us an approximate weight of [tex]\(165 \frac{5}{303}\)[/tex] pounds.

By following these steps, the answer to the question "How much does the average man weigh in pounds?" is:

[tex]\[
\boxed{165 \frac{5}{303} \text{ pounds}}
\][/tex]