Question

A freezer was sold during a clearance sale for​ $387.50. If the freezer was sold at a discount of 50/3%​, what was the list​ price?

Answer 1

So.. if we take 387.50 as the 100%,
then we shave off from it, (50/3)%
what hmmm do we end up with?

$\bf \begin{array}{ccllll} amount&\%\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 387.50&100\\ x&100-\frac{50}{3} \end{array}\qquad \implies \cfrac{387.50}{x}=\cfrac{100}{100-\frac{50}{3}} \\\\\\\\ \cfrac{387.50}{x}=\cfrac{\frac{100}{1}}{\frac{250}{3}}\implies \cfrac{387.50}{x}=\cfrac{100}{1}\cdot \cfrac{3}{250}\implies \cfrac{387.50}{x}=\cfrac{300}{250}$

solve for "x"