To determine the percent in tax, we first need to calculate the absolute value of tax was paid. To do this we will subtract the total paid by Sara by the price of the sweater:
[tex]\text{tax =19.04-17=2.04}[/tex]Since the tax is calculated in relation to the price of the sweater, then we need to create a rule of three in such a way that the price of the sweater is equivalent to 100% and the tax is equivalent to a certain unkown percentage. This is done below:
[tex]\begin{gathered} \frac{17\text{ }}{2.04}=\frac{100\text{ \%}}{x\text{ \%}} \\ \frac{17}{2.04}=\frac{100}{x} \\ 17\cdot x=100\cdot2.04 \\ 17\cdot x=204 \\ x=\frac{204}{17}=12\text{ \%} \end{gathered}[/tex]The tax was 12% of the price.
