1 Answer

Vahid Montazer · Answer 1 · 2023-01-07T10:45:50+0000

Answer:

The answer is 18 pounds per bucket.

In this question, we are given the expression that relates the pounds of lobster to the number of buckets:

$\displaystyle \frac{\text{450 pounds}}{\text{25 buckets}}$

This fraction is presented to give a proportion of pounds of lobster to the number of buckets these lobsters inhabit.

With this proportion, we are expected to assume that the rate will be equivalent across all of the buckets. Therefore, for each bucket, there will be an equal measurement of pounds of lobster.

To solve this problem, we need to know exactly how this rate will work.

A rate is the same thing as a fraction, percentage, or decimal. All of these forms are convertible between one another.

For instance, if we took 25%, we know that by dividing this by 100, we receive a decimal form (0.25) or a fractional form (1/4).

We can apply the same principle here.

Part I - Set up the Rate

To solve, set up the rate:

$\displaystyle \frac{450 \ \text{pounds}}{25 \ \text{buckets}}$

Part II - Find the GCF

Then, find the Greatest Common Factor (GCF) of the two digits:

Check for common factors between the two trees:

Since 25 is the greatest of the three factors, it is the GCF.

Part III - Apply the GCF

Divide both the numerator and the denominator by 25:

$\displaystyle (450)/(25) = 18$

$\displaystyle (25)/(25) = 1$

Part IV - Simplify

Set up the new fraction:

$\displaystyle (18)/(1)$

Anything divided by 1 does not change:

$\displaystyle (18)/(1) = 18$

Since we got 18 an answer, this means that there are 18 pounds of lobster per bucket.

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