Question

Linear Equations and InequalitiesApplications involving PercentagesThe sale price of a coffeemaker is 40.08. This is 40% off the original price. What was the original price of the coffeemaker(my example from my book show:Sale Price = Original Price - Amount of discount.I understand x will be the original price.

Answer 1

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:

`40.08=x-0.40x`

We add the similar elements x - 0.40x = 0.60x

`40.08=0.60x`

We divide both sides by 0.60

`(40.08)/(0.60)=(0.60x)/(0.60)`

And simplify

`66.80=x`

Therefore, The original price of the coffeemaker was $66.80