Understanding Commission Problems in Mathematics

The video tutorial explains the concept of commission, a payment made to incentivize employees, typically salespeople, based on a percentage of sales. It covers three standard commission questions: calculating commission for a house sale, determining total client earnings from commission, and calculating pay with a base salary and commission. The tutorial emphasizes using algebra and fractions to solve these problems and provides tips for setting up equations consistently.

What is the primary purpose of commission in a workplace?

• To incentivize employees to be more productive

• To reduce employee salaries

• To increase product prices

• To decrease company profits

Which of the following professions commonly earn commission?

• Doctors

• Real estate agents

• Software developers

• Teachers

If John sells a house for $300,000 and earns a 2% commission, how much does he make?

• $6,000

• $12,000

• $3,000

• $9,000

How is a 2% commission on a $300,000 sale calculated?

• 300,000 + 0.02

• 300,000 / 0.02

• 300,000 * 0.02

• 300,000 - 0.02

Why is it beneficial to express commission percentages as fractions?

• It makes calculations more complex

• It simplifies calculations without a calculator

• It increases the commission percentage

• It decreases the commission percentage

Henry earns 10% of his clients' salaries. If he made $72,000 last year, what was the total salary of his clients?

• $720

• $7,200

• $72,000

• $720,000

What is the first step in solving Henry's commission problem?

• Multiply $72,000 by 10%

• Divide $72,000 by 10%

• Add $72,000 to 10%

• Subtract $72,000 from 10%

What mathematical operation is used to solve a division by a fraction?

• Addition

• Subtraction

• Multiplication by the reciprocal

• Division by the reciprocal

Roberto earns $9 per hour plus a 12.5% commission. How much does he earn in an 8-hour shift if he sells $380 worth of jewelry?

• $380.00

• $47.50

• $72.00

• $119.50

How is Roberto's commission calculated from his jewelry sales?

• Subtract $380 from 12.5%

• Add $380 to 12.5%

• Divide $380 by 12.5%

• Multiply $380 by 12.5%