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Ali and Renu are buying concert tickets from a web site. ​ ​There is an 18% 18 % service fee for every ticket bought from the site. ​If the cost of 2 2 ​tickets, including the service fee, was $59 $ 59 , what was the cost of each ​ticket before applying the service fee?

Answer :

$ 25 was the cost of each ​ticket before applying the service fee.

Step-by-step explanation:

Given that the cost of two tickets including the service fee = $59

So, the cost of one ticket including the service fee =  [tex]\frac{59}{2} = \$ 29.5[/tex]

Service fee on each ticket = 18%

Let the cost of 1 ticket without including the service fee = x

So, according to the data given in the question,

                     [tex]x+18 \% \text { of } x=29.5[/tex]

                     [tex]x+\frac{18}{100} \times x=29.5[/tex]

                    [tex]x+0.18 x=29.5[/tex]

                    [tex]1.18 x=29.5[/tex]

                    [tex]x=\frac{29.5}{1.18}=25[/tex]

Hence, cost of each ticket before applying the service fee = $25

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