Directions: Read the following details carefully and answer the question that follows.

There are two logistics centers, namely Facility A and Facility B. The number of day-shift workers in Facility A is 320, and the number of day-shift workers in Facility B is equal to the number of night-shift workers in Facility A. The total number of day-shift workers across both logistics centers is 500, and the number of night-shift workers in Facility B is double that of the night-shift workers in Facility A.

What is the average number of day-shift workers in Facility A and night-shift workers in Facility B?

The correct option is 340.

Step-by-step Explanation:

1. Given Data:
• Number of day-shift workers in Facility A = 320
• Total number of day-shift workers across Facility A and Facility B = 500

2. Calculate the number of day-shift workers in Facility B:
The total number of day-shift workers is the sum of day-shift workers in Facility A and Facility B.

$500=320+\text{Day-shift workers in Facility B}$

$\text{Day-shift workers in Facility B}=500-320=180$

3. Determine the number of night-shift workers in Facility A:
According to the problem statement, the number of day-shift workers in Facility B is equal to the number of night-shift workers in Facility A.

$\text{Night-shift workers in Facility A}=180$

4. Calculate the number of night-shift workers in Facility B:
The number of night-shift workers in Facility B is double that of the night-shift workers in Facility A.

$\text{Night-shift workers in Facility B}=2\times 180=360$

5. Calculate the average of day-shift workers in Facility A and night-shift workers in Facility B:
• Day-shift workers in Facility A = 320
• Night-shift workers in Facility B = 360

$\text{Average}=\frac{320+360}{2}$

$\text{Average}=\frac{680}{2}=340$

Therefore, the average number of day-shift workers in Facility A and night-shift workers in Facility B is 340.