Question

A store is selling a shirt in two different states. The shirt retails for $45.

In Florida, the sales tax is 6.5%. In Alaska, it is 4.5%. How much more
would it cost for you to buy the shirt in Florida?

Answer 1

well, let's find out how much will it be in each state.

`\begin{array} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6.5\% of 45}}{\left( \cfrac{6.5}{100} \right)45} ~~ \approx ~~ \stackrel{ \textit{tax in Florida} }{2.93} \\\\[-0.35em] ~\dotfill`

`\stackrel{\textit{4.5\% of 45}}{\left( \cfrac{4.5}{100} \right)45}~~ \approx ~~ \stackrel{ \textit{tax in Alaska} }{2.03}\hspace{5em}2.93-2.03~~ \approx ~~ \text{\LARGE 0.90}`