Question

A pack of cinnamon-scented pencils sells for $9.00. What is the sales tax rate if the total cost of the pencils is $9.63

Answer 1

well, the pencils are 9 bucks, but they're selling for 9.63, meaning the tax is 0.63 or 63 cents.

now, if we take 9 to be the 100%, what is 0.63 off of it in percentage?


`\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 9&100\\ 0.63&t \end{array}\implies \cfrac{9}{0.63}=\cfrac{100}{t}\implies t=\cfrac{0.63\cdot 100}{9}`

Answer 2

The sales tax rate is 7%.

Explanation:

This question can be solved by a simple rule of three.

It sells for $9.00. The total cost is $9.63. So 9.63-9 = 0.63 is of taxes.

9 - 1

0.63 - x

`9x = 0.63`

`x = 0.07`

The sales tax rate is 7%.