Question

Julia bought a blouse for $18.25 and a skirt for $22.40. If she received a 10% discount for the skirt and the sales tax rate is 7.25%, how many dollars did she pay?

Answer 1

well, let's take a looksie, hmmm she got the skirt for 22.40, but but but, she got a discount of 10% on that hmmm how much will that be?

`\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{10\% of 22.40}}{\left( \cfrac{10}{100} \right)22.40}\implies 2.24~\hfill \underset{\textit{sale price for the skirt}}{\stackrel{22.40~~ - ~~2.24}{20.16}}`

so now, if we add the price of her blouse that'd be a total of 18.25 + 20.16 = 38.41, from that she paid a tax of 7.25%, so

`\begin{array}ll \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{7.25\% of 38.41}}{\left( \cfrac{7.25}{100} \right)38.41} ~~ \approx ~~ 2.78~\hfill \underset{final~price}{\stackrel{38.41~~ + ~~2.78}{\approx \text{\LARGE 41.19}}}`