The sales price of a car is 12,590, which is 20% off the original price. What is the Original price?
Let x equal the original price. Solve for x
0.8x = 12,590
We'll be glad to check your answer.
.8x/.8 = 12,590/.8
x= 15,737.50
But where did you get 0.8 from?
Yes. Your answer is correct. The original price of the car was $15,737.50.
I used 0.8 because with a 20% discount, the customer pays 80% (or 0.8) of the original price.
To find the original price of the car, we need to calculate the price before the 20% discount was applied.
Let's assume the original price of the car is "X".
We know that the sales price of the car is 20% off the original price. This means that the sales price is equal to 80% of the original price (100% - 20% discount).
To calculate this, we can set up the following equation:
Sales price = Original price - Discount
12590 = X - (0.20 * X)
To simplify, we distribute the discount:
12590 = X - 0.20X
Combine like terms:
12590 = 0.80X
Divide both sides by 0.80 to isolate the original price:
Original price (X) = 12590 / 0.80 = 15,737.50
Therefore, the original price of the car was $15,737.50.