Math Problem Statement

A video game originally costs $60. It is now on sale for $48. Which expressions represent the percent decrease in the price of the video game? Select TWO correct answers.

Solution

To determine which expressions represent the percent decrease in the price of the video game, we can use the formula for percentage decrease:

Percent Decrease=Original PriceNew PriceOriginal Price×100\text{Percent Decrease} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100

Given:

  • Original price = $60
  • Sale price = $48

The decrease in price is: Decrease=6048=12\text{Decrease} = 60 - 48 = 12

Now, applying the percentage decrease formula: Percent Decrease=1260×100=20%\text{Percent Decrease} = \frac{12}{60} \times 100 = 20\%

Now, let's check the given expressions:

  • A. 604860×100\frac{60 - 48}{60} \times 100: This matches the correct formula for percent decrease, so A is correct.

  • B. 604848×100\frac{60 - 48}{48} \times 100: This uses the new price in the denominator, which is incorrect for percentage decrease.

  • C. 1248×100\frac{12}{48} \times 100: This incorrectly uses the new price ($48) instead of the original price ($60) in the denominator.

  • D. 1260×100\frac{12}{60} \times 100: This correctly represents the percent decrease, so D is correct.

  • E. 604860+48×100\frac{60 - 48}{60 + 48} \times 100: This is not correct, as it uses the sum of the original and new prices in the denominator.

Final Correct Answers:

  • A and D

Do you want more details or have any questions?

Here are 5 related questions to expand this information:

  1. How is percentage increase different from percentage decrease?
  2. What happens to the percentage decrease if the price drops to $30 instead of $48?
  3. How do you calculate the percentage increase if the price rises from $48 to $60?
  4. How can you express percent decrease as a decimal?
  5. Can you apply this method to calculate the percent decrease for any other items?

Tip: Always remember to divide by the original price when calculating percentage decrease!

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Math Problem Analysis

Mathematical Concepts

Percentage Decrease
Arithmetic

Formulas

Percent Decrease = (Original Price - New Price) / Original Price * 100

Theorems

Basic Percentage Theorem

Suitable Grade Level

Grades 6-8