SOLUTION: The sales price of a car is $12,590 which is 20% off the original price. What is the original price. Please could I get a detailed explanation of how to solve this problem. longjoh

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Question 4901: The sales price of a car is $12,590 which is 20% off the original price. What is the original price. Please could I get a detailed explanation of how to solve this problem. longjohsilver already solved it but I couldn't understand how he got 0.8x from x - 0.2x. Thanks
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say the original price of the car is X
and we know that if we take 20% off the original price, we are only paying 80% of the original price. Our original price was 100% and (20% + 80% = 100%)
Percentages are expressed in decimals, so 80%=.8
and .8x means 80% of original price
.8x=12590 (80% of the original cost is $12,590)
Divide both sides by .8
x=15737.50
So the originial price of the car was $15,737.50