Answer:
45.71 = original price
Explanation:
The sale price is equal to the original price minus the discount
sale price = original price - discount
The discount is equal to the original price times the percent off
discount = original price * percent off
Substitute into the first equation
sale price = original price - original price * percent off
Factor out the original price
sale price = original price (1-percent off)
We know the sale price=32 and the discount = 30% = .3
32 = original price (1-.3)
32 = original price (.7)
Divide each side by .7
32/.7 = original price (.7)/.7
45.71 = original price