Question

Lexi and Ann go shopping. Ann wonders how much tax she will have to pay on her purchase of $76. Lexi says, "They just charged me $14.50 in taxes when I bought these outfits for $200." How much will Ann pay in taxes?

Answer 1

well, first off, let's see how much was it in tax for the $200 purchase, since we know it was a whooping $14.50.

now, if 200(origin amount) is the 100%, what's 14.50 off of it in percentage?

`\begin{array}{ccll} amount&\%\\ \cline{1-2} 200 & 100\\ 14.50& x \end{array} \implies \cfrac{200}{14.50}~~=~~\cfrac{100}{x}\implies 200x=1450 \\\\\\ x=\cfrac{1450}{200}\implies x=\stackrel{\%}{7.25}`

now, let's check how much will that be for $76

`\begin{array}ll \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{7.50\% of 76}}{\left( \cfrac{7.50}{100} \right)76}\implies 5.7`