Answer
The price of the camcorder before the reduction was $\$780$
Work Step by Step
$\textbf{The problem to be solved is:}$
After a $40\%$ price reduction, you purchase a camcorder for $\$468$. What was the camcorder's price before the reduction?
Let $x$ be the price before the reduction.
Since the price reduction was a $40\%$, it can be expressed as $0.4x$
Write an equation that represents the problem given:
$x-0.4x=468$
Simplify the left side of the equation:
$0.6x=468$
Take $0.6$ to divide the right side:
$x=\dfrac{468}{0.6}$
$x=780$
The price of the camcorder before the reduction was $\$780$
