Asked by Maria Candea
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?
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{7.75\%}
\]
\[
\text{Total with tax} = \text{Price of video game} \times (1 + \text{Tax rate})
\]
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:
\[
\boxed{7.75\%}
\]
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