Question

A small company has one manager and 5 other employees. The manager’s salary is 25% of the company’s salary budget. If the company’s salary budget is x dollars, which expressions represent the amount of money, in dollars, from the salary budget that is left for the 5 other employees? Select all correct expressions.

6x - 0.25x

5x - 25x

X - 0.25x

X - 0.75x

0.25x
0.75x

Answer 1

To determine the amount of money left for the 5 employees after the manager's salary is accounted for, we start with the total salary budget, which is \( x \) dollars.

The manager’s salary is 25% of the budget:

\[
\text{Manager's salary} = 0.25x
\]

To find out how much money is left for the 5 employees, we subtract the manager's salary from the total budget:

\[
\text{Amount left for employees} = x - \text{Manager's salary} = x - 0.25x
\]

Simplifying this expression:

\[
x - 0.25x = 0.75x
\]

Now, let's evaluate the options provided:

1. **6x - 0.25x**: This simplifies to \( 5.75x \), which is not correct.
2. **5x - 25x**: This simplifies to \( -20x \), which is not correct.
3. **x - 0.25x**: This simplifies to \( 0.75x \), which is correct.
4. **x - 0.75x**: This simplifies to \( 0.25x \), which is not correct.
5. **0.25x**: This is not correct, as it indicates the manager's salary, not the remaining amount.
6. **0.75x**: This is correct, as it represents the amount left for the 5 other employees.

Thus, the correct expressions that represent the amount of money left for the 5 employees are:

- \( x - 0.25x \)
- \( 0.75x \)