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A bike cost $\$649$ . This is $15\%$ off the regular price. What is the regular price?

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Percent of change: find the original amount word problems

Full solution

Q. A bike cost

\$649

. This is

15\%

off the regular price. What is the regular price?

Set up equation: Step $1$ : Let $x$ be the regular price of the bike. $\newline$ The bike's sale price is given as $\$649$ , which is $85\%$ of the regular price (since $100\% - 15\% = 85\%$ ). $\newline$ Set up the equation to find $x$ : $0.85x = 649$ .
Solve for x: Step $2$ : Solve for x. $\newline$ Divide both sides of the equation by $0.85$ to isolate $x$ . $\newline$ $x = \frac{649}{0.85}$ $\newline$ $x = 763.53$

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