The sale price of an item is equal to the original price less the discounted amount. In this case we have a 40% discount.
- Let x be the original price of a coffeemaker.
- To find the discounted amount, first convert 40% to its decimal representation: 40% = 0.40
- The amount of the discount is the discount rate times the original price or 0.40x.
Then we have:
Sale Price = Original Price - Amount of discount
In algebra this is:
40.08 = x - 0.40x
So, we solve for x:
We add the similar elements x - 0.40x = 0.60x
We divide both sides by 0.60
And simplify
Therefore, The original price of the coffeemaker was $66.80