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Find the original price.
The discount on a toy robot is . The toy robot is on sale for .
The original price is .

Ask by Gross Chang. in Saudi Arabia
Jan 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The original price of the toy robot is $90.

Solution

To find the original price of the toy robot before the discount, follow these steps:
  1. Understand the Discount:
    • Discount Percentage: 40%
    • Sale Price: $54
    A 40% discount means the toy is being sold at 60% of its original price (since 100% - 40% = 60%).
  2. Set Up the Equation:
    Let be the original price of the toy robot.
    In mathematical terms:
  3. Solve for :
  4. Conclusion:
    The original price of the toy robot is $90.

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Mind Expander

To find the original price, we can use the formula: Original Price = Sale Price / (1 - Discount Rate). The discount rate in decimal form for 40% is 0.40, which means we are paying 60% of the original price. So, the calculation would be: Original Price = 54 / (1 - 0.40) = 54 / 0.60 = 90. Therefore, the original price is .
Keeping track of percentages can be tricky, so a common mistake here is miscalculating the percentage you’re paying after the discount. Remember that if there’s a 40% discount, you’re actually paying 60% of the original price! Double-check your calculations and make sure you’re using the total percentage correctly. This can save you from a lot of confusion!

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