today only, a sofa is being sold at a 62% discount. the sale price is $311.60. what was the price yesterday?

Explanation:

Step1: Find the relationship between original and sale - price

Let the original price (yesterday's price) be $x$. The sale price is $(1 - 0.62)x$ since there is a 62% discount.

Step2: Set up an equation

We know that $(1 - 0.62)x=311.60$, which simplifies to $0.38x = 311.60$.

Step3: Solve for $x$

$x=\frac{311.60}{0.38}$. $x = 820$.

Answer:

$820$