Question

A table is on sale for 32% off. The sale price is $459.
What is the regular price?

Answer 1

$675 is the regular price. $459 is 68% of the original price. (100-32=68). To find the original price you would do 459 divided by 0.68 and would get 675. To check that you would do 675 times 0.68 and would get 459. I hope this helps

Answer 2

the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.

`\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675`