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

To find the weight of the average man in pounds, we start with the information that the average blue whale weighs

[tex]$$300,\!000 \text{ pounds}$$[/tex]

and that the average man weighs

[tex]$$\frac{1}{1818}$$[/tex]

of the weight of a blue whale.

Thus, the weight of the average man, [tex]$W$[/tex], is given by

[tex]$$
W = \frac{300,\!000}{1818}.
$$[/tex]

Step 1. Simplify the Fraction

We can simplify the fraction by dividing both the numerator and the denominator by 6, since

[tex]$$
1818 \div 6 = 303 \quad \text{and} \quad 300,\!000 \div 6 = 50,\!000.
$$[/tex]

So,

[tex]$$
W = \frac{50,\!000}{303}.
$$[/tex]

Step 2. Express as a Mixed Number

To convert [tex]$\frac{50,\!000}{303}$[/tex] to a mixed number, we perform the division:

1. Divide 50,000 by 303 to find the integer part:

[tex]$$303 \times 165 = 49,\!995,$$[/tex]

and

[tex]$$50,\!000 - 49,\!995 = 5.$$[/tex]

2. Hence, the integer part is 165 and the fraction part is [tex]$\frac{5}{303}$[/tex].

Thus, the weight can be written as

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

Final Answer:

The average man weighs

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