Question

A 20 percent discount is offered on all sweaters at Store S. If a cotton sweater is on sale for $48, and a wool sweater is on sale for $64, what was the difference in the price of the sweater before the discount

Answer 1

The original price of the cotton sweater was $60, and the wool sweater was $80, making the difference in price before the discount $20.

Step-by-step explanation:

To find the original price before the discount, we can use the formula Original Price = Sale Price / (1 - Discount Rate). For the cotton sweater, the sale price is $48 and the wool sweater is on sale for $64, with a discount of 20% or 0.20.

For the cotton sweater:

• Original Price = $48 / (1 - 0.20)
• Original Price = $48 / 0.80
• Original Price = $60

For the wool sweater:

• Original Price = $64 / (1 - 0.20)
• Original Price = $64 / 0.80
• Original Price = $80

Now we subtract the original price of the cotton sweater from the original price of the wool sweater to find the difference in price before the discount:

• Difference = $80 - $60
• Difference = $20

Answer 2

I think the answer is 20%