Question

Rosa purchased a sofa that was on sale for 20% off. She spent $1850. How much was the sofa before the sale?

Answer 1

To find the original price of the sofa before the sale, set up an equation where 80% of the original price is equal to $1850. Solve for the original price by dividing $1850 by 0.8.

Step-by-step explanation:

To find the price of the sofa before the sale, we need to determine the original price. Let's say the original price is 'x'. Since Rosa purchased the sofa at 20% off, she paid 80% of the original price. We can set up an equation: 80% of x is equal to $1850.

80% of x = $1850

To solve for x, we first convert 80% to a decimal by dividing it by 100: 80/100 = 0.8. Then we divide $1850 by 0.8 to find the value of x:

x = $1850 / 0.8 = $2312.50

Therefore, the original price of the sofa was $2312.50 before the sale.

Answer 2

To find the original price of the sofa before the sale, we need to reverse the 20% discount. The original price of the sofa before the sale was $2312.50.

Step-by-step explanation:

To find the original price of the sofa before the sale, we need to reverse the 20% discount. Let's assume the original price is P.

We can set up the equation: P - 0.20P = $1850.

Combining like terms on the left side gives: 0.80P = $1850.

Dividing both sides by 0.80 gives: P

= $1850 / 0.80

= $2312.50.

Therefore, the original price of the sofa before the sale was $2312.50.