The 5 employees at Jewelry Hut are scheduled to work an average of 31 hours each next week, as shown below.

A table labeled Employee hours scheduled. Alan has 24 hours, Susan has 39 hours, Craig has 24 hours, Mary has 40 hours and Scott has 28 hours.

The store manager is hiring two new employees. What number of hours could the manager schedule the new employees to work next week without changing the average number of hours worked by Jewelry Hut employees?
A.
Nate (31 hours) and Lisa (35 hours)
B.
Nate (20 hours) and Lisa (24 hours)
C.
Nate (26 hours) and Lisa (30 hours)
D.
Nate (30 hours) and Lisa (32 hours)

C. Nate (26 hours) and Lisa (30 hours)

the bot is wrong.. I'm not saying I'm right but i think the answer is Nate (31 hours) and Lisa (35 hours) BUT DO NOT TAKE MY WORD FOR IT!!!

To find the number of hours that the manager could schedule the new employees to work next week without changing the average number of hours worked by Jewelry Hut employees, we need to calculate the total number of hours worked by the current employees and the number of current employees.

First, let's calculate the total number of hours worked by the current employees:
Alan: 24 hours
Susan: 39 hours
Craig: 24 hours
Mary: 40 hours
Scott: 28 hours

Total hours worked = 24 + 39 + 24 + 40 + 28 = 155 hours

Next, let's calculate the number of current employees:
There are 5 current employees.

Now, let's calculate the average number of hours worked per employee:
Average hours per employee = Total hours worked / Number of employees
Average hours per employee = 155 hours / 5 employees = 31 hours

Since the average number of hours worked by Jewelry Hut employees is 31 hours, the manager needs to schedule the new employees in a way that maintains the average.

Let's check each option to see which one meets this condition:

A. Nate (31 hours) and Lisa (35 hours)
Total hours for new employees = 31 + 35 = 66 hours
Total hours for all employees = 155 + 66 = 221 hours
Number of employees = 5 + 2 = 7 employees
Average hours per employee = 221 hours / 7 employees = 31.57 hours (not equal to 31)

B. Nate (20 hours) and Lisa (24 hours)
Total hours for new employees = 20 + 24 = 44 hours
Total hours for all employees = 155 + 44 = 199 hours
Number of employees = 5 + 2 = 7 employees
Average hours per employee = 199 hours / 7 employees = 28.43 hours (not equal to 31)

C. Nate (26 hours) and Lisa (30 hours)
Total hours for new employees = 26 + 30 = 56 hours
Total hours for all employees = 155 + 56 = 211 hours
Number of employees = 5 + 2 = 7 employees
Average hours per employee = 211 hours / 7 employees = 30.14 hours (not equal to 31)

D. Nate (30 hours) and Lisa (32 hours)
Total hours for new employees = 30 + 32 = 62 hours
Total hours for all employees = 155 + 62 = 217 hours
Number of employees = 5 + 2 = 7 employees
Average hours per employee = 217 hours / 7 employees = 31 hours (equal to 31)

Therefore, the option that the manager could schedule the new employees to work next week without changing the average number of hours worked by Jewelry Hut employees is D. Nate (30 hours) and Lisa (32 hours).

To find the number of hours the manager can schedule the new employees without changing the average number of hours worked, we need to calculate the total number of hours worked by the existing employees and divide it by the total number of employees.

The existing employees are scheduled to work:
Alan: 24 hours
Susan: 39 hours
Craig: 24 hours
Mary: 40 hours
Scott: 28 hours

To find the total number of hours worked, we add up the hours of all the employees:
Total hours worked = 24 + 39 + 24 + 40 + 28 = 155 hours

There are 5 existing employees, so the average number of hours worked is 155 hours divided by 5 employees:
Average hours worked = 155 / 5 = 31 hours

To maintain the same average hours worked, the total hours worked by the new employees should be such that when added to the existing total hours worked (155), and then divided by the total number of employees (5 + 2 = 7), the result is still 31.

Let's consider each answer choice:

A. Nate (31 hours) and Lisa (35 hours):
To calculate the total hours worked, we add the hours of the new employees and the existing employees: 31 + 35 + 155 = 221 hours. However, we have a total of 7 employees now, so the average hours worked would be 221 divided by 7 = 31.57 hours. Therefore, option A does not maintain the same average hours.

B. Nate (20 hours) and Lisa (24 hours):
Total hours worked = 20 + 24 + 155 = 199 hours. With 7 employees, the average hours worked would be 199 divided by 7 = 28.43 hours. Option B does not maintain the same average hours.

C. Nate (26 hours) and Lisa (30 hours):
Total hours worked = 26 + 30 + 155 = 211 hours. The average hours with 7 employees would be 211 divided by 7 = 30.14 hours. Option C also does not maintain the same average hours.

D. Nate (30 hours) and Lisa (32 hours):
Total hours worked = 30 + 32 + 155 = 217 hours. The average hours with 7 employees would be 217 divided by 7 = 31 hours. Option D maintains the same average hours.

Therefore, the correct answer is option D: Nate (30 hours) and Lisa (32 hours).