Question

Find the percent change when the original price was $76 and the new price is $60. Please show your work.

Answer 1

from 76 down to 60 is a 16 difference.

if we take 76 to be the 100%, what is 16 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 76&100\\ 16&x \end{array}\implies \cfrac{76}{16}=\cfrac{100}{x}\implies \cfrac{19}{4}=\cfrac{100}{x} \\\\\\ 19x=400\implies x=\cfrac{400}{19}\implies x\approx 21.05$

Answer 2

Answer

The price reduced by 21.05%

Explanation

•To determine the price decrease in dollars, subtract:

76 - 60 = 16

•The price decreased by 16 dollars as shown above.

•16 is what percent of 76?

So, to find that, set up an equation:

76x = 16

•Divide both sides by 76.

$\frac{76x}{76} = x$

$\frac{16}{76} = .21 or 21%$

x = .2105 or 21.05%