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 $

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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:

[tex]\frac{100}{7.3}=\frac{?\text{?}}{12.41}[/tex]

Multiplying both parts of the equation by 12.41:

[tex]\begin{gathered} \frac{100}{7.3}=\frac{?\text{?}}{12.41} \\ \downarrow \\ \frac{100}{7.3}\cdot12.41=?\text{?} \end{gathered}[/tex]

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

[tex]\begin{gathered} \frac{100}{7.3}\cdot12.41=170 \\ \text{??}=170 \end{gathered}[/tex]

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