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 total number of workers (day-shift + night-shift) across both logistics centers?

The correct answer is 1040.

Step 1: Calculate the number of day-shift workers in Facility B.
The total number of day-shift workers across both logistics centers is 500. Given that Facility A has 320 day-shift workers, we can find the day-shift workers in Facility B as follows:

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

Step 2: Determine the number of night-shift workers in Facility A.
The problem states that the number of night-shift workers in Facility A is equal to the number of day-shift workers in Facility B:

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

Step 3: Calculate the number of night-shift workers in Facility B.
The number of night-shift workers in Facility B is double that of Facility A:

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

Step 4: Calculate the total number of workers across both logistics centers.
First, find the total number of night-shift workers across both facilities:

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

Now, add the total day-shift workers and total night-shift workers together:

$\text{Total workers}=500+540=1040$

Thus, the total number of workers across both logistics centers is 1040.