Answer
The answer is $\$50$.
Work Step by Step
Let $x$ represent the jacket's price before the reduction.
$60\%$ of the jacket's price is $=(0.60)x$.
The price of the jacket after reduction is $\$20$.
$60\%$ reduction of the jacket's price is equal to the $\$20$.
In equation form.
$x−0.60x=20$
Factor the equation.
$(1−0.60)x=20$
Simplify.
$0.40x=20$
Divide both sides by $0.40$.
$\frac{0.40x}{0.40}=\frac{20}{0.40}$
Simplify.
$x=50$.