SOLUTION: The airfare of a flight from Amarillo, Tx to New Orleans cost $280, which includes a 7% sales tax. What is the cost of the flight before tax?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The airfare of a flight from Amarillo, Tx to New Orleans cost $280, which includes a 7% sales tax. What is the cost of the flight before tax?      Log On


   



Question 284255: The airfare of a flight from Amarillo, Tx to New Orleans cost $280, which includes a 7% sales tax. What is the cost of the flight before tax?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
When the ticket costs 100 the actual cost = 93
when ticket cost 280 the actual price will be 93*280/100
=260.4

Answer by ikleyn(53748) About Me  (Show Source):
You can put this solution on YOUR website!
.
The airfare of a flight from Amarillo, Tx to New Orleans cost $280, which includes a 7% sales tax.
What is the cost of the flight before tax?
~~~~~~~~~~~~~~~~~~~~~~


        In the post by @mananth, the treatment is not adequate to the problem.
        Due to this reason, his solution is conceptually incorrect.

        I came to bring a correct solution.


Let the cost of the ticket be x dollars before tax.
The purchase including the 7% sales tax is (1+0.07)x = 1.07x.

We have this equation

        1.07x = 280 dollars.

Hence   x = 280%2F1.07 = 261.682243.

We round it to the closest cent.

ANSWER.   The cost of the flight before the tax is  $261.68.

Solved correctly.