Question
Fawzia went shopping for a new pair of sneakers. To find the total plus tax, she multiplied the price of the pair of sneakers by 1.0625. What percent tax did she pay?
Answers
GPT-4o mini
Fawzia multiplied the price of the pair of sneakers by 1.0625 to include the tax. The number 1.0625 can be broken down as follows:
\[
1 + \text{tax rate}
\]
Let \( x \) be the tax rate as a decimal. Therefore, we have:
\[
1 + x = 1.0625
\]
To find \( x \), we can subtract 1 from both sides:
\[
x = 1.0625 - 1 = 0.0625
\]
To convert the tax rate \( x \) from a decimal to a percentage, we multiply it by 100:
\[
\text{Tax rate percentage} = 0.0625 \times 100 = 6.25\%
\]
Thus, the percent tax that Fawzia paid is:
\[
\boxed{6.25\%}
\]
\[
1 + \text{tax rate}
\]
Let \( x \) be the tax rate as a decimal. Therefore, we have:
\[
1 + x = 1.0625
\]
To find \( x \), we can subtract 1 from both sides:
\[
x = 1.0625 - 1 = 0.0625
\]
To convert the tax rate \( x \) from a decimal to a percentage, we multiply it by 100:
\[
\text{Tax rate percentage} = 0.0625 \times 100 = 6.25\%
\]
Thus, the percent tax that Fawzia paid is:
\[
\boxed{6.25\%}
\]