Maxim has been offered positions by two car companies. the first company pays a salary of $8000 plus a commission of $900 for each car sold. the second pays a salary of $14400 plus a commission of $500 for each car sold. how many cars would need to be sold to make the total pay the same?

16 cars.

Step-by-step explanation:

Let x represent number of sold cars.

We have been that 1st company pays a salary of $8000 plus a commission of $900 for each car sold. We can represent this information in an expression as:

We are also told that second company pays a salary of $14400 plus a commission of $500 for each car sold. We can represent this information in an expression as:

To find the number of cars sold, which will make the total pay the same, we will equate both expressions and solve for x as:

Therefore, 16 cars would need to be sold to make the total pay the same.