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a sale price of a video game that has been discounted 45% is $10.34. what was the original price of the video game

1 Answer

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Final answer:

The original price of the video game was $18.80.

Step-by-step explanation:

To find the original price of the video game, we can use the formula:

Original Price - Discount = Sale Price

Let's denote the original price as P. We know that the sale price is $10.34 and the discount is 45%.

So, P - (45/100) * P = $10.34

Simplifying the equation, we get:

P * (1 - 45/100) = $10.34

P * (55/100) = $10.34

Dividing both sides of the equation by (55/100), we get:

P = $10.34 * (100/55)

P = $18.80

Therefore, the original price of the video game was $18.80.

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