https://file.aiquickdraw.com/mathbot/file/172710333184428pm2fn9.jpg

Sebuah perusahaan percetakan mampu menyablon 12 lusin baju kaos dalam waktu 5 hari dengan 4 orang pekerja.

Based on the provided image and text, we are dealing with a problem related to work rates, where a certain number of workers complete a task within a given time. The scenario is about a printing company that can screen-print 12 dozen shirts in 5 days with 4 workers.

Let me summarize the key information:

- **Work done by 4 workers**: 12 dozen shirts.
- **Time**: 5 days.
- The task in the image involves 3 workers and 9 dozen shirts, but we don't know the time taken yet. We are required to calculate the number of days for this scenario.

### Steps to Solve:
We will use the formula for work-rate problems, which is:
\[
\text{Work rate} = \frac{\text{Work done}}{\text{Number of workers} \times \text{Time taken}}
\]

1. **Calculate the work rate for the first scenario (12 dozen shirts by 4 workers in 5 days):**
   \[
   \text{Work rate} = \frac{12 \text{ dozen}}{4 \times 5} = \frac{12}{20} = 0.6 \text{ dozen per worker per day}.
   \]

2. **Calculate the number of days for the second scenario (9 dozen shirts by 3 workers):**

Let \( t \) be the number of days for this scenario. Using the same work rate (since we assume the rate per worker stays constant), we can set up the equation:
\[
3 \times t \times 0.6 = 9 \text{ dozen}.
\]

Solving for \( t \):
\[
1.8t = 9.
\]
\[
t = \frac{9}{1.8} = 5 \text{ days}.
\]

Thus, it would take **5 days** for 3 workers to complete 9 dozen shirts.

### Do you have any further questions, or would you like more details on this solution?

### Additional Related Questions:
1. How would the number of days change if 6 workers were available to screen-print 12 dozen shirts?
2. What would happen if the number of shirts was increased to 15 dozen but still using 4 workers?
3. If one worker took a day off, how would the time to finish the 12 dozen shirts change?
4. How many workers would be required to complete 9 dozen shirts in 3 days?
5. How does the work rate per worker change if the task is completed in 4 days instead of 5?

### Tip: 
Always break down the problem into smaller steps, especially when dealing with work-rate problems. This makes it easier to track how changes in workers, time, or output affect the solution.

Learn how to calculate the time needed for 3 workers to screen-print 9 dozen shirts using work-rate formulas. The original scenario involves 4 workers completing 12 dozen shirts in 5 days. This problem is suitable for students in Grades 7-9.

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