Question 284255
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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?
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        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 = {{{280/1.07}}} = 261.682243.


We round it to the closest cent.


<U>ANSWER</U>.  &nbsp;&nbsp;The cost of the flight before the tax is  &nbsp;$261.68.


Solved correctly.