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 options:

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

Answer :

To find how much the average man weighs in pounds, we need to calculate the man’s weight based on his ratio to the blue whale's weight. Here's how you can do it:

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

2. Weight of the Blue Whale: The average blue whale weighs 300,000 pounds.

3. Calculate the Average Man's Weight:

- To find the weight of the average man, multiply the weight of the blue whale by the ratio of the man's weight to the whale’s weight.
- [tex]\( \text{Average man's weight} = 300,000 \times \frac{1}{1,818} \)[/tex].

4. Perform the Multiplication: When you multiply these values, you get approximately 165.0165 pounds.

5. Choose the Closest Answer: Now, let's identify which choice from the options provided is closest to this calculated weight:

- [tex]\( 165 \frac{5}{303} \)[/tex] lbs is approximately 165.0165 lbs, which matches our calculation.

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