Question

bobby works at a paper company. on friday, his job was to seal piles of pamphlets. he sealed 216 piles in the first 3 hours. at that rate, how many piles could he seal in a full 8-hour workday, if he takes no breaks? round to the nearest pile. do not include units in your answer.

the solution is

Explanation:

Identify the given values

We are given that Bobby seals \(216\) piles of pamphlets in \(3\) hours. The total workday duration is \(8\) hours, and he takes no breaks.

Determine the unit rate

To find how many piles Bobby seals per hour, we divide the total piles sealed by the hours taken:

$$\text{Unit Rate} = \frac{216\text{ piles}}{3\text{ hours}} = 72\text{ piles per hour}$$

Calculate the total piles for the workday

Using the unit rate, we find the total number of piles Bobby can seal in an \(8\)-hour workday:

$$\text{Total Piles} = 72\text{ piles/hour} \times 8\text{ hours} = 576\text{ piles}$$

Round the final answer

The question asks to round to the nearest pile. Since \(576\) is already an integer, no rounding is needed. We must not include units in the final answer.

Answer:

Bobby works at a paper company. On Friday, his job was to seal piles of pamphlets. He sealed 216 piles in the first 3 hours. At that rate, how many piles could he seal in a full 8-hour workday, if he takes no breaks? Round to the nearest pile. Do not include units in your answer.

The solution is <blank>576</blank>