Question 292614: The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
Found 2 solutions by Theo, richwmiller:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! S = Sale price of car = $12,590.
O = Original price of car which is yet to be determined.
The original price of the car minus 20% is equal to the sale price of the car.
In equation form, this means:
O - .2*O = S
Simplify this to get:
O * (1-.2) = S
Simplify this further to get:
.8*O = S
Divide both sides of this equation by .8 to get:
O = 
Since S = 12590, this becomes:
O =  .
Simplify this to get:
O = 15737.5
The original price of the car should be $15,737.50
To confirm, plug this value into the original equation to see if it's true.
The original equation is:
O - .2*O = S
Substitute 15737.5 for O to get:
15737.5 - .2*15737.5 = S
Simplify to get:
15737.5 - 3147.5 = S
Simplify further to get:
12590 = S
Since S = 12590 is the same sales price that we started with, the answer is confirmed as good.
The original price of the car was $15,737.50.
Answer by richwmiller(17219)  (Show Source):
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