if a game is 55% off it is now 29.99 what is the original price

3 answers

To find the original price of the game before the discount, you can use the following steps:

  1. Let the original price be \( P \).
  2. Since the game is 55% off, you pay 45% of the original price when you buy it.

This can be expressed as: \[ 0.45P = 29.99 \]

  1. To find \( P \), divide both sides by 0.45: \[ P = \frac{29.99}{0.45} \]

  2. Calculate \( P \): \[ P \approx \frac{29.99}{0.45} \approx 66.64 \]

So, the original price of the game was approximately $66.64.

so how do I solve it

To solve for the original price step-by-step, follow these instructions:

  1. Understand the Discount: The game is 55% off, which means you're paying 45% of the original price.

  2. Set Up the Equation:

    • Let \( P \) be the original price.
    • Since you pay 45% of the original price after the discount, you can express this as: \[ 0.45P = 29.99 \]
  3. Isolate \( P \): To solve for \( P \), divide both sides of the equation by 0.45: \[ P = \frac{29.99}{0.45} \]

  4. Calculate \( P \):

    • Perform the division: \[ P \approx \frac{29.99}{0.45} \approx 66.64 \]
  5. Conclusion: The original price of the game is approximately $66.64.

Quick Summary of Steps:

  1. Set up the equation: \( 0.45P = 29.99 \)
  2. Solve for \( P \) by dividing by 0.45: \( P = \frac{29.99}{0.45} \)
  3. Calculate the value.

If you have a calculator, you can directly compute it as shown. If you need further help with any step, feel free to ask!