Answer:
[tex]\begin{gathered} a)\text{ Purchase Price = \$190} \\ b)\text{ Total Price = \$205.96} \end{gathered}[/tex]Explanation:
Here, we want to get the purchase price and the total price
a) The purchase price before tax
In the question, we have it that the tax is 8.4% of the purchase price
Let the purchase price be $P
8.4% of this is $15.96
Mathematically:
[tex]\begin{gathered} \frac{8.4}{100}\times\text{ P = 15.96} \\ \\ 8.4P\text{ = 100}\times15.96 \\ P\text{ = }\frac{100\times15.96}{8.4} \\ P\text{ = \$190} \end{gathered}[/tex]b) The total price is the sum of the tax and the purchase price
Mathematically, we have this as:
[tex]\text{ 190 + 15.96 = \$205.96}[/tex]