Question

A ticket to the pacers game was on sale for $28, but was originally priced at $40. What was the percent of the discount

Answer 1

well, from 40 to 28, the discount is clearly 12 bucks.

if we take 28 to be the 100%, what is 12 off of it in percentage?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 28&100\\ 12&x \end{array}\implies \cfrac{28}{12}=\cfrac{100}{x}\implies \cfrac{7}{3}=\cfrac{100}{x} \\\\\\ 7x=300\implies x=\cfrac{300}{7}\implies x\approx 42.86`