Question

Basketball shoes are on sale for 22% off. What is the regular price if the sale price is $42?

Answer 1

say the regular price is "x", which is the 100% value of the shoes, but today they're 22% off, that means 100% - 22% = 78%, so the sale price is really 78% of the regular price, we know that's 42 bucks, so

`\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 42&78 \end{array}\implies \cfrac{x}{42}=\cfrac{100}{78}\implies \cfrac{x}{42}=\cfrac{50}{39} \\\\\\ 39x=2100\implies x=\cfrac{2100}{39}\implies x\approx 53.85`

Answer 2

x =53.85

Explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form.

78x = 42

Divide each side by .78.

78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85