Question

Alan purchases a $41.30 jacket and a $27.55 hoodie. how much would it cost him if there was a 10% discount as well as nine % sales tax?

Answer 1

well, the jacket and hoodie will cost him 41.3 + 27.55 = 68.85, let's get the 10% and chop it off from it.

`\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 68.85}}{\left( \cfrac{10}{100}\right)68.85}\implies 6.885~\hfill \begin{array}{llll} 68.85-6.885\\ 61.965 \end{array}`

now, let's get 9% from 61.965 and chop it off from it.

`\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{9\% of 61.965}}{\left( \cfrac{9}{100}\right)61.965}\implies 5.57685~\hfill \begin{array}{llll} 61.965-5.57685\\ 56.38815\\ \stackrel{\textit{rounded up}}{56.39} \end{array}`