Calculating Discounts and Commissions

This lesson covers multi-step ratio problems, focusing on solving markup and discount problems using tape diagrams and mathematical equations. It includes examples with shoes, pants, car sales, furniture, and motorcycles, demonstrating different methods to calculate sale prices, commissions, and profits. The lesson concludes with a summary of key learnings and methods.

What is the essential question addressed in this lesson?

• What are two ways to solve a markup problem?

• What is the formula for the circumference of a circle?

• How to find the volume of a cylinder?

• How to calculate the area of a rectangle?

If a pair of shoes originally costs $40 and is a fourth off, what is the sale price using a tape diagram?

• $40

• $20

• $10

• $30

How do you calculate the discount on shoes using multiplication?

• Divide the original price by 4

• Multiply the original price by 4

• Multiply the original price by 1/4 and subtract from the original price

• Add 1/4 of the original price to the original price

What fraction of the original price do you pay if the discount is a fourth off?

• 1/4

• 4/4

• 3/4

• 2/4

If pants are originally $33 and a third off, what is the sale price using a tape diagram?

• $44

• $33

• $22

• $11

How do you calculate the discount on pants using multiplication?

• Divide the original price by 3

• Add 1/3 of the original price to the original price

• Multiply the original price by 1/3 and subtract from the original price

• Multiply the original price by 3

What fraction of the original price do you pay if the discount is a third off?

• 1/3

• 2/3

• 3/3

• 4/3

What is the sales commission on a car sold for $2,999 if the commission is 1/12th?

• $2,999.00

• $333.25

• $1,833.25

• $249.92

How do you calculate the sales commission using multiplication?

• Divide the sale price by 12

• Multiply the sale price by 1/12

• Add 1/12 of the sale price to the sale price

• Multiply the sale price by 12

What is the profit on a couch originally priced at $2,400, marked up by a third, and then sold at a fifth off?

• $640

• $480

• $320

• $160