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.