Question

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 1

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

Explanation:

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

So, the cost of one ticket including the service fee =
`(59)/(2) = \$ 29.5`

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,

`x+18 \% \text { of } x=29.5`

`x+(18)/(100) * x=29.5`

`x+0.18 x=29.5`

`1.18 x=29.5`

`x=(29.5)/(1.18)=25`

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