Calculating Discounts and Original Prices

The video tutorial explains how to solve a word problem involving a gift purchase with a 15% discount. Three friends each paid $8 after the discount, and the task is to find the original price of the gift. The instructor sets up a linear equation using the original price, represented as X, and solves it to find that the original price is approximately $28.24.

What percentage discount did the friends receive on the gift?

• 20%

• 25%

• 10%

• 15%

How much did each friend pay after the discount?

• $7

• $6

• $8

• $5

What is the first step in setting up the equation to solve the problem?

• Subtract the discount from the original price.

• Multiply the discount percentage by the original price.

• Determine the original price of the gift.

• Calculate the total amount paid by the friends.

What variable is used to represent the original price of the gift?

• Z

• X

• Y

• P

How is the 15% discount expressed as a decimal?

• 0.15

• 1.5

• 0.015

• 15

What equation represents the relationship between the original price, discount, and total paid?

• X - 0.15 = 24

• X - 0.15X = 24

• X * 0.15 = 24

• X + 0.15X = 24

What is the combined total amount paid by the three friends?

• $36

• $30

• $24

• $18

What is the simplified form of the equation after combining like terms?

• X = 24

• 0.15X = 24

• 1.15X = 24

• 0.85X = 24

What operation is used to isolate X in the equation 0.85X = 24?

• Subtraction

• Addition

• Division

• Multiplication

What is the approximate original price of the gift after solving the equation?

• $26.24

• $25.24

• $28.24

• $27.24