Math Problem Statement
Solution
To determine which expressions represent the percent decrease in the price of the video game, we can use the formula for percentage decrease:
Given:
- Original price = $60
- Sale price = $48
The decrease in price is:
Now, applying the percentage decrease formula:
Now, let's check the given expressions:
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A. : This matches the correct formula for percent decrease, so A is correct.
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B. : This uses the new price in the denominator, which is incorrect for percentage decrease.
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C. : This incorrectly uses the new price ($48) instead of the original price ($60) in the denominator.
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D. : This correctly represents the percent decrease, so D is correct.
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E. : 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:
- How is percentage increase different from percentage decrease?
- What happens to the percentage decrease if the price drops to $30 instead of $48?
- How do you calculate the percentage increase if the price rises from $48 to $60?
- How can you express percent decrease as a decimal?
- 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