Question

Cooper went shopping for a new camera because of a sale. The store was offering a 25% discount. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?

Answer 1

well, let's say the regular price is "x", which oddly enough is the 100%, and we know the store is doing a 25% sale, that means the new prices are 100% - 25% = 75%, 75% of the regular price, so when buying item for "$x", the sale price will just be

`\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{75\% of x}}{\left( \cfrac{75}{100} \right)x}\implies \text{\LARGE 0.75}\cdot x`