Pamela has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to $\$18,284$ , which is $60\%$ less than its original price. What was the original price of the ring? $\newline$ $\$$ ____

Full solution

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

\$18,284

, which is

60\%

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

\newline

\$

____

Define Original Price: Step $1$ : Let $x$ be the original price of the ring. $\newline$ We know the ring is now $\$18,284$ , which is $60\%$ less than the original price. $\newline$ Expression for current price: $x - 60\%(x) = x - 0.6x$
Simplify Expression: Step $2$ : Simplify the expression for the current price. $\newline$ $x - 0.6x = 0.4x$ $\newline$ We know: Current price is $\$18,284$ $\newline$ Set up the equation: $0.4x = 18,284$
Solve for Original Price: Step $3$ : Solve for $x$ , the original price. $0.4x = 18,284$ $x = \frac{18,284}{0.4}$ $x = 45,710$