Question

Jackie has been offered positions by two cable companies. The first company pays a salary of $14000 and a commission of $75 for each cable package sold. The second pays a salary of $11300 plus a commission of $125 for each package sold. How many cable packages would need to be sold to make the total pay the same?

Answer 1

To make the total pay the same, Jackie would need to sell 54 cable packages.

Step-by-step explanation:

To make the total pay the same, we need to find the number of cable packages sold that will result in the same pay for both positions. Let's represent this number as 'x'.

For the first company, the total pay is equal to the salary plus the commission earned:

Total Pay = $14000 + $75x

For the second company, the total pay is equal to the salary plus the commission earned:

Total Pay = $11300 + $125x

Now we can set these two expressions equal to each other and solve for 'x':

$14000 + $75x = $11300 + $125x

Simplifying the equation, we get:

$14000 - $11300 = $125x - $75x

$2700 = $50x

Dividing both sides by $50, we find:

x = $2700/$50 = 54

Therefore, Jackie would need to sell 54 cable packages to make the total pay the same for both positions.