Question

1. a chair sold for $267.05. this was after a 25% discount. what was the original price before the sale?

Explanation:

Step1: Set up the equation

Let the original price be $x$. The selling price is the original price minus the discount amount. A 25% discount means the selling price is $(1 - 0.25)x=0.75x$. We know the selling price is $267.05$, so the equation is $0.75x = 267.05$.

Step2: Solve for $x$

We divide both sides of the equation $0.75x = 267.05$ by $0.75$. So $x=\frac{267.05}{0.75}$.
$x = 356.066\cdots\approx356.07$

Answer:

$356.07$