A pair of jeans is on sale for $56 at 35% off. What is the original price of the jeans?
1.35 * 56 = ?
.65x = 56
x = 56/.65 = 88.89
To find the original price of the jeans, you first need to determine the amount of the discount.
Step 1: Calculate the discount amount.
The discount is given as 35% off, which means you pay only 65% of the original price.
Discount amount = 35% of original price
= 35/100 * original price
= 0.35 * original price
Step 2: Calculate the sale price.
The sale price of the jeans is $56.
Sale price = Original price - Discount amount
$56 = Original price - 0.35 * original price
Step 3: Solve for the original price.
Combine like terms.
$56 = 0.65 * original price
Divide both sides by 0.65.
original price = $56 / 0.65
= $86.15 (rounded to the nearest cent)
Therefore, the original price of the jeans is approximately $86.15.
To find the original price of the jeans, we can use the formula:
Original Price = Sale Price / (1 - Discount%)
In this case, the sale price is $56 and the discount is 35%.
First, convert the discount percentage to decimal form by dividing it by 100: 35% = 35/100 = 0.35
Now, we can use the formula to find the original price:
Original Price = $56 / (1 - 0.35)
Original Price = $56 / 0.65
Dividing $56 by 0.65, we get the original price:
Original Price = $86.15
Therefore, the original price of the jeans was $86.15.