Judith has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to $\$4,195$ , which is $50\%$ less than its original price. What was the original price of the ring? $\newline$ $\$$ ____

Full solution

Q. Judith has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to

\$4,195

, which is

50\%

less than its original price. What was the original price of the ring?

\newline

\$

____

Define the problem: Step $1$ : Define the problem. $\newline$ Judith noticed the ring is now $\$4,195$ , which is $50\%$ less than the original price. Let's call the original price $p.$ $\newline$ Calculation: $\$4,195 = 50\%$ of $p$
Set up the equation: Step $2$ : Set up the equation to find the original price. $\newline$ Since $\$4,195$ is $50\%$ less than the original price, it means $\$4,195$ is $50\%$ of the original price. $\newline$ Calculation: $\$4,195 = p - 50\% \text{ of } p$