Final answer:
To find the original cost of the video game after a 10% tax and a final price of $55, you need to solve an equation. First, set up the equation by multiplying the original cost by the tax rate.
Step-by-step explanation:
To find the original cost of the video game, we need to work backwards from the final price after tax. Let's assume the original cost is 'x' dollars.
First, we calculate the tax amount by multiplying the original cost 'x' by 10% (0.10). This gives us 0.10x dollars.
Next, we add the tax amount to the original cost to get the final price after tax ($55). Setting up the equation, we have: x + 0.10x = $55.
Combining like terms, we simplify the equation to 1.10x = $55. Finally, we divide both sides of the equation by 1.10 to solve for 'x', which represents the original cost of the video game.
The question is how to find the original cost of an item before a 10% tax was added if the final cost is $55. To answer this, we need to reverse the calculation that was initially used to find the total after the tax was applied. This means we are looking for a number that, when increased by 10%, equals $55. To find this original cost, we first convert the 10% tax to a decimal, which is 0.10, then we create an equation where the original price plus the tax equals $55, expressed as original price + (original price × 0.10) = $55.
To solve for the original price, we simplify the equation: 1.10 × original price = $55. Then we divide both sides by 1.10: original price = $55 / 1.10. Upon calculating, we find that the original price of the video game is $50. So, before the 10% tax was applied, the video game cost $50.