Answer :
- Calculate the weight of the average man by multiplying the weight of the blue whale by $\frac{1}{1,818}$: $W_{man} = \frac{1}{1,818} Imes 300,000$.
- Perform the division: $W_{man} = \frac{300,000}{1,818} = 165.01650165...$.
- Compare the result with the given options.
- Select the correct option: $\boxed{165 \frac{5}{303} \text{ lbs}}$.
### Explanation
1. Understanding the problem
We are given that the average blue whale weighs 300,000 pounds. We are also told that the average man weighs $\frac{1}{1,818}$ the weight of a blue whale. We need to find the weight of the average man in pounds.
2. Setting up the calculation
To find the weight of the average man, we need to multiply the weight of the average blue whale by $\frac{1}{1,818}$. So, we have:$$W_{man} = \frac{1}{1,818} \times 300,000$$
3. Performing the calculation
Now, we perform the calculation:$$W_{man} = \frac{300,000}{1,818}$$
4. Comparing with the options
$$W_{man} = 165.01650165...$$Now we need to compare this result with the given options to find the correct one. The options are:
$205 \frac{3}{890}$ lbs
$242 \frac{7}{425}$ lbs
$165 \frac{5}{303}$ lbs
$234 \frac{7}{303}$ lbs
We can see that our calculated value is closest to $165 \frac{5}{303}$ lbs. Let's convert $165 \frac{5}{303}$ to a decimal to verify:$$165 + \frac{5}{303} = 165 + 0.01650165... = 165.01650165...$$
5. Final Answer
Therefore, the average man weighs $165 \frac{5}{303}$ pounds.
### Examples
Understanding average weights can be useful in various real-life scenarios. For example, when designing elevators or bridges, engineers need to consider the average weight of people to ensure safety and stability. Similarly, in logistics and transportation, knowing the average weight of individuals helps in planning and optimizing cargo loads.
- Perform the division: $W_{man} = \frac{300,000}{1,818} = 165.01650165...$.
- Compare the result with the given options.
- Select the correct option: $\boxed{165 \frac{5}{303} \text{ lbs}}$.
### Explanation
1. Understanding the problem
We are given that the average blue whale weighs 300,000 pounds. We are also told that the average man weighs $\frac{1}{1,818}$ the weight of a blue whale. We need to find the weight of the average man in pounds.
2. Setting up the calculation
To find the weight of the average man, we need to multiply the weight of the average blue whale by $\frac{1}{1,818}$. So, we have:$$W_{man} = \frac{1}{1,818} \times 300,000$$
3. Performing the calculation
Now, we perform the calculation:$$W_{man} = \frac{300,000}{1,818}$$
4. Comparing with the options
$$W_{man} = 165.01650165...$$Now we need to compare this result with the given options to find the correct one. The options are:
$205 \frac{3}{890}$ lbs
$242 \frac{7}{425}$ lbs
$165 \frac{5}{303}$ lbs
$234 \frac{7}{303}$ lbs
We can see that our calculated value is closest to $165 \frac{5}{303}$ lbs. Let's convert $165 \frac{5}{303}$ to a decimal to verify:$$165 + \frac{5}{303} = 165 + 0.01650165... = 165.01650165...$$
5. Final Answer
Therefore, the average man weighs $165 \frac{5}{303}$ pounds.
### Examples
Understanding average weights can be useful in various real-life scenarios. For example, when designing elevators or bridges, engineers need to consider the average weight of people to ensure safety and stability. Similarly, in logistics and transportation, knowing the average weight of individuals helps in planning and optimizing cargo loads.
