If a sweater is 30$ and is on sale for 60% off what was original price

0.4x = 30

Solve for x

18

To determine the original price of the sweater before the discount, you can follow these steps:

1. Start by finding the amount of discount. If the sweater is on sale for 60% off, the discount is 60% of the original price.

Calculation: Discount = 60% × Original Price

2. Calculate the sale price by subtracting the discount from the original price.

Calculation: Sale Price = Original Price - Discount

3. Since you know the sale price ($30) and the discount (60%), you can now set up an equation and solve for the original price.

Calculation: Original Price - 60% × Original Price = $30

4. Simplify the equation and solve for the original price.

Calculation: 100% × Original Price - 60% × Original Price = $30

40% × Original Price = $30

Original Price = $30 ÷ 40%

Original Price = $30 ÷ 0.4

Original Price = $75

Therefore, the original price of the sweater was $75.