Understanding Percent Problems

The video tutorial addresses a common percent problem: determining the original price of a phone after a 25% discount. It first explains the incorrect approach of adding 25% of the discounted price to the discounted price itself. Then, it presents the correct method, which involves understanding that the discounted price represents 75% of the original price. By setting up a percent equation, the original price is calculated to be approximately $533.33, not $500. The tutorial emphasizes understanding the relationship between percentages and the original price to solve such problems accurately.

What is the discounted price of the phone after a 25% discount?

• $400

• $450

• $500

• $300

What is the incorrect method to find the original price of the phone?

• Subtracting 25% from $400

• Adding 25% of $400 to $400

• Dividing $400 by 0.75

• Multiplying $400 by 0.75

What percentage of the original price does $400 represent?

• 50%

• 100%

• 25%

• 75%

How do you express 75% as a decimal?

• 1.75

• 7.5

• 0.25

• 0.75

What equation represents the relationship between $400 and the original price?

• 400 = X + 0.75

• 400 = 1.25 * X

• 400 = 0.75 * X

• 400 = X / 0.75

What operation is used to solve for the original price in the equation 400 = 0.75 * X?

• Divide both sides by 0.75

• Multiply both sides by 0.75

• Add 0.75 to both sides

• Subtract 0.75 from both sides

What is the approximate original price of the phone?

• $533.33

• $500

• $400

• $600

Why is the original price not $500?

• Because $400 is 75% of the original price

• Because $400 is 25% of the original price

• Because $400 is 50% of the original price

• Because $400 is 100% of the original price

What is the first step in solving a percent problem like this?

• Identify the percentage and the discounted price

• Add the percentage to the discounted price

• Multiply the discounted price by the percentage

• Subtract the percentage from the discounted price