Question

A supervisor must split 60 hours of overtime between five people. One employee must be assigned twice the number of hours as each of the other four employees.
How many hours of overtime will be assigned to each employee?
A. 10 hours for 4 employees and 20 hours for 1 employee
B. 8 hours for 4 employees and 16 hours for 1 employee
C. 40 hours for 4 employees and 20 hours for 1 employee
D. 9 hours for 4 employees and 18 hours for 1 employee
E. 20 hours for 4 employees and 10 hours for 1 employee

Answer 1

Answer:

A. 10 hours for 4 employees and 20 hours for 1 employee.

Step-by-step explanation:

Okay, let's get to it! :D

So first, we need to set up an equation.

We know there are 60 total hours split between 5 people, and we can assign the number of hours 4 of the employees get as x. We also know that one employee gets double the amount of hours, so they would get 2x. Now, let's put that into an equation :)

60 = 2x + 4x

Now we add the x's together so the equation looks like this:

60 = 6x

To find x, we have to get it alone, so now we divide 60 by 6.

X = 10

But we're not done yet. X is the amount the 4 employees have to work, but because one employee has double the hours, we double our x-value to get 20 hours for that one employee.