A car is normally priced at $12000. In anticipation of their Labor Day Sale, the dealership raises the price of the car by 15%, and then puts the car on sale from that price at 15% off. What is the sale price of the car?
I'm going to work this two ways - first step by step, then all together.
Step by step:
We have a car with a value of $12,000. The dealership first raises the price by 15%:
And then the dealership announces a 15% off sale. What's the price of the car now?
And so the "sale" isn't much of one at all - buyers only save
And now, all at once (I'll build the equation step by step):
We have the Old Price of the car (I'll call that
and we know that the Old Price is 12,000:
Now what do we do to the Old Price? First we increase it by 15%:
and then we reduce the whole thing by 15%:
and now we can solve: