Trevani bought a book. She paid a total of $13.50, including 8% sales tax. How much tax did Trevani pay on the book?
Trevani paid $1.00 in sales tax on the book.
To find the sales tax amount, we can set up the equation where the total amount paid ($13.50) equals the original price of the book plus the 8% sales tax. By using this equation, we determine that the tax amount is $1.00.
This choice suggests that the sales tax paid was $0.96. To check this, if we assume a $0.96 tax, the original price would be approximately $12.54. Calculating 8% of $12.54 results in about $1.00, which does not align with the total paid of $13.50.
This is the correct answer. To confirm, we calculate the tax by letting the original price be \( x \). The equation is \( x + 0.08x = 13.50 \), leading to \( 1.08x = 13.50 \). Solving for \( x \) gives approximately $12.50, and 8% of this is indeed $1.00, matching the total payment.
Choosing $1.04 implies a tax amount that would make the original price lower than $12.50. If we calculate backwards from $1.04, the original price would be around $12.50, leading to a total of about $13.54 when including the tax, which exceeds the total amount paid.
This option indicates that Trevani paid $1.08 in tax. If this were the case, the original price would be around $12.42. Calculating 8% of this original price results in a total of approximately $13.50, but it exceeds the actual tax amount, making this option incorrect.
Trevani's payment of $13.50 for the book, including tax, means she paid $1.00 in sales tax. This is confirmed through proper calculations showing that the original book price plus the calculated tax equals the total payment. Other options do not accurately reflect the sales tax calculation based on the provided total.
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