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.

Find the total number of night-shift workers employed across both logistics centers.

The correct answer is 540.

Step-by-step explanation:

1. Identify the given information:
• Number of day-shift workers in Facility A = 320
• Total number of day-shift workers across Facility A and Facility B = 500

2. Find the number of day-shift workers in Facility B:

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

3. Find 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. Find 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 total number of night-shift workers across both facilities:

$\text{Total night-shift workers}=\text{Night-shift workers in Facility A}+\text{Night-shift workers in Facility B}$

$\text{Total night-shift workers}=180+360=540$

Therefore, the total number of night-shift workers employed across both logistics centers is 540.