Question

The sales tax on a table saw is $12.41. a. What is the purchase price of the table saw (before tax) if the sales tax rate is 7.3%? b. Find the total price of the table saw. a. The purchase price is $

Answer 1

Percentages

A

We know that the tax rate is 7.3% and it corresponds to $12.41. We want to find the total price of the table saw without taxes, it is to say the 100%. We have the following equivalence:

100% ⇔ ??

7.3% ⇔ $12.41

If we divide both parts of the equivalence we will have the same result:

`(100)/(7.3)=\frac{?\text{?}}{12.41}`

Multiplying both parts of the equation by 12.41:

`\begin{gathered} (100)/(7.3)=\frac{?\text{?}}{12.41} \\ \downarrow \\ (100)/(7.3)\cdot12.41=?\text{?} \end{gathered}`

Now, we can find the total price of the table saw without taxes:

`\begin{gathered} (100)/(7.3)\cdot12.41=170 \\ \text{??}=170 \end{gathered}`

Answer A. the purchase price is 170

B

The total price of the table saw (it is to say, including taxes, $12.41), is

170 + 12.41 = 182.41

Answer B. the total price is 182.41