Let $x$ be the original price. The sale price, $64, is some percent of $x$. What decimal can you multiply $x$ by to represent the price after a 20% discount? Аn⁠ікo АI ‍Тu‍tor

Once you have an equation like $0.8x = 64$, isolate $x$ by doing the same operation to both sides of the equation.

In the Desmos calculator, type 64/0.8 (or 64/(1-0.2)) and press Enter. The value that appears is the original price before the 20% discount; match that number to the closest answer choice. an‍i‍кo.aі‍ SА⁠T Quеstiοn Bаnк

A 20% discount means you do not pay 20% of the original price.

Instead, you pay the remaining percent:

• 100% (the full price) $-\ 20\%$ (discount) $=80\%$ (you actually pay)

So the sale price ($64) is 80% of the original price.

Let $x$ be the original price of the jacket, in dollars.

Since you pay 80% of the original price and that equals $64, write:

Here, $0.8$ is 80% written as a decimal.

Solve the equation $0.8x = 64$ by dividing both sides by $0.8$:

Compute this: Сontent by ‍Аn‍і‌к‌o.а⁠і

• $64 \div 0.8 = 80$

So the jacket’s original price was $80, which corresponds to choice D) 80.