Question

Ms. Raguz's purchase totaled $135. In addition to that, she paid a tax of 6.5%.

Write and solve an equation to find out how much Ms. Raguz paid for her
purchase, including tax. Round to the nearest hundredth.

Answer 1

well, let's simply see how much is 6.5% of 135, or namely the tax

`\begin{array}c \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6.5\% of 135}}{\left( \cfrac{6.5}{100} \right)135}\implies 8.775 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{cost}{y}=\stackrel{selling~price}{x}+\stackrel{tax}{\left( (6.5)/(100) \right)x}~\hfill y = 135+8.775\implies y \approx 143.88`