Lisa buys last year's best-selling novel, in hardcover, for
$14.00. This is with a
30% discount from the original price. What was the original price of the novel?
x=20
0.7x = 14
Solve for x.
To find the original price of the novel, we need to determine the price before the 30% discount was applied.
Step 1: Calculate the discount amount
Discount = Original Price * Discount Percentage
Discount = Original Price * 0.30
Step 2: Calculate the discounted price
Discounted Price = Original Price - Discount Amount
$14.00 = Original Price - (Original Price * 0.30)
Step 3: Solve for the original price
$14.00 = Original Price - 0.30 * Original Price
$14.00 = Original Price(1 - 0.30)
$14.00 = Original Price * 0.70
Divide both sides by 0.70 to isolate the Original Price:
Original Price = $14 / 0.70
Original Price ≈ $20.00
Therefore, the original price of the novel was approximately $20.00.
To find the original price of the novel, you need to calculate the price before the 30% discount was applied. Here's how you can do it:
1. Start by converting the 30% discount to a decimal. Since 30% is equivalent to 0.30 in decimal form.
2. Next, subtract the discount from 1. This gives you the remaining fraction of the original price after the discount.
1 - 0.30 = 0.70
3. Divide the sale price by the remaining fraction to find the original price.
$14.00 / 0.70 = $20.00
Therefore, the original price of the novel was $20.00.