A television is on sale for $300. If the sale price is 30% less than the regular price, what is the regular price?
(1-.30)x = 300
Solve for x.
The price of a television set on so it's $216 versus two thirds of the regular price find
To find the regular price, follow these steps:
Step 1: Calculate the amount of the discount.
The sale price is 30% less than the regular price, so the discount is 30% of the regular price.
Discount = 30% * Regular price
Step 2: Calculate the sale price.
The sale price is the regular price minus the discount.
Sale price = Regular price - Discount
Step 3: Solve for the regular price.
Since we know the sale price is $300, we can substitute it into the equation.
$300 = Regular price - Discount
Now, let's plug in the values and solve for the regular price:
Discount = 30% * Regular price
Discount = 0.30 * Regular price
$300 = Regular price - 0.30 * Regular price
$300 = (1 - 0.30) * Regular price
$300 = 0.70 * Regular price
Now, divide both sides of the equation by 0.70 to solve for the regular price:
Regular price = $300 / 0.70
Regular price ≈ $428.57
Therefore, the regular price of the television is approximately $428.57.
To find the regular price of the television, we need to determine the price before the 30% discount.
Let's set up an equation to solve for the regular price:
Regular price - 30% of the regular price = Sale price
Let's denote the regular price as "x".
x - 0.30x = $300
To solve this equation, we combine like terms:
0.70x = $300
Next, divide both sides of the equation by 0.70 to isolate the variable:
x = $300 / 0.70
Using a calculator, we find:
x ≈ $428.57
Therefore, the regular price of the television is approximately $428.57.