Question

Maxim has been offered

positions by two car companies.

The first company pays a salary of

$\backslash (10,000$plus a commission of

$\backslash )1000$for each car sold. The

second pays a salary of $\backslash (20,000$

plus a commission of $\backslash )500$for

each car sold. How many cars

would need to be sold to make the

total pay the same?

Short answer

We need total$20$cars

Step-by-step solution

Step 1. Given

First company gives $\$10,000$salary with a commission of $\$1000$

Second company gives $\$20,000$salary with a commission of$\$500$

Step 2. Calculation

Let the number of cars is $x$

For the first company the pay is $\$10,000+\$1000x$

For second company the pay is $\$20,000+\$500x$

According to question both pays are same

$$\begin{gathered} \$10,000+\$1000x=\$20,000+\$500x \\ 1000x-500x=20000-10000 \\ 500x=10000 \\ x=20 \end{gathered}$$

Therefore we need$20$cars.