Question

Jackie has been offered

positions by two cable companies.

The first company pays a salary of

$\backslash (14,000$plus a commission of $\backslash )100$

for each cable package sold. The

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

plus a commission of $\backslash )25$for each

cable package sold. How many

cable packages would need to be

sold to make the total pay the

same?

Short answer

We need$80$cable packages

Step-by-step solution

Step 1. Given

Let the number of cable packages be$x$

First company gives salary $\$14,000$with a commission of $\$100$

Second company gives salary $\$20,000$with a commission of$\$25$

Step 2. Calculation

For the first company $\$14,000+\$100x$

For the second company $\$20,000+\$25x$

According to the question,

$$\begin{gathered} \$14,000+\$100x=\$20,000+\$25x \\ 100x-25x=20000-14000 \\ 75x=6000 \\ x=80 \end{gathered}$$

Therefore we need$80$cable packages.