Respuesta :
Answer:
x =53.85
Step-by-step 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
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
[tex]\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[/tex]
