Question 292614
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 = {{{S/.8}}}


Since S = 12590, this becomes:


O = {{{12590/.8}}}.


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.