Question

Max has been offered positions by two car companies. The first company pays a salary of $12,500 plus commission of $1500 for each car sold. The second company pays a salary of $17,500 plus a commission of $500 per car sold. How many cars would need to be sold to make the total pay the same

Answer 1

5 Cars

Explanation:

Let the number of cars to be sold to make the total pay equal be x.

The first company pays a salary of $12,500 plus commission of $1500 for each car sold.

• Algebraically written as: 12500+1500x

The second company pays a salary of $17,500 plus a commission of $500 per car sold.

• Algebraically written as: 17500+500x

Equating both sides

12500+1500x=17500+500x

Collect like terms

1500x-500x=17500-12500

1000x=5000

Divide both sides by 1000

x=5

Therefore, when 5 cars are sold, the total pay would be the same.