Understanding Percent Proportion

The video tutorial explains how to determine the original price of shoes marked down by 30% using two methods: the percent proportion and keywords. The instructor sets up a proportion comparing the discounted price to the original price and solves it by cross-multiplying. An alternative method using keywords is also demonstrated, leading to the same result. The original price is calculated to be approximately $57.14.

What is the main problem discussed in the video?

• Understanding the concept of ratios

• Finding the discounted price of shoes

• Calculating the original price of shoes

• Determining the percentage of discount

Which technique is used to solve the problem in the video?

• Discount calculation

• Ratio analysis

• Percent proportion

• Percent equation

What does the $40 represent in the percent proportion setup?

• The discount amount

• The discounted price

• The original price

• The total cost

If the shoes are marked down by 30%, what percentage did you actually pay?

• 100%

• 30%

• 50%

• 70%

What is the result of cross-multiplying in the proportion setup?

• X = 70

• 40X = 7000

• 70X = 4000

• X = 4000

What is the approximate original price of the shoes after solving the proportion?

• $40.00

• $60.00

• $50.00

• $57.14

What is the purpose of using keywords in the second method?

• To simplify the calculation

• To calculate the total cost

• To rewrite the question in a basic form

• To find the discount percentage

In the keyword method, what does '40 is' indicate?

• The original price

• The amount paid

• The percentage paid

• The discounted price

How does the keyword method relate to the original proportion setup?

• It alters the original price

• It changes the percentage

• It confirms the same proportion

• It uses a different proportion

What is the final confirmed original price of the shoes?

• $50.00

• $40.00

• $57.14

• $60.00