Question

On Black Friday, a store sells sweaters at a discount of 60% off. After Black Friday, they add back 60%. If you go in today and it says that it cost $35.20, how much did it cost before Black Friday?

Answer 1

To find the original price of the sweater before Black Friday, subtract the 60% discount from 100% to get 40% of the original price. Then add the 60% increase to get 100% of the original price. Set up an equation and solve for the original price.

Step-by-step explanation:

To find the original price of the sweater before Black Friday, we can work backwards. We know that after Black Friday, the price is $35.20. This price represents 100% of the original price minus the 60% discount and then plus the 60% increase.

So, 100% - 60% = 40% of the original price. And 40% + 60% = 100% of the original price.

Now, we can set up an equation to find the original price. Let's represent the original price as 'x':

0.4x + 0.6(0.4x) = 35.20

Solve the equation:

0.4x + 0.24x = 35.20

0.64x = 35.20

x = 35.20 / 0.64

x ≈ 55

Therefore, the sweater originally cost approximately $55 before Black Friday.