Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?

Answer 1

Skylar multiplied the price of the video game by 1.0775 to include the tax in her total. This can be interpreted as:

$$\text{Total with tax}=\text{Price of video game}\times (1+\text{Tax rate})$$

From this equation, we can set the following:

$$1+\text{Tax rate}=1.0775$$

To find the tax rate, we subtract 1 from both sides:

$$\text{Tax rate}=1.0775-1=0.0775$$

To express the tax rate as a percentage, we multiply by 100:

$$\text{Tax rate percentage}=0.0775\times 100=7.75$$

Thus, the percent tax that Skylar paid is:

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