Question 1208465
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The basic one-way air fare for a child aged between 3 and 10 years costs half the regular basic fare for an adult 
plus a reservation charge that is the same on the child's ticket as on the adult's ticket. 
One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult 
and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?
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Let x be the basic fare for one way ticket for an adult (reservation is not included).

Then the basic fare for one way ticket for a child is x/2.


The reservation for an adult for this trip costs (216-x) dollars,
same as the reservation for a child.


Now the equation for the cost of the reserved ticket for an adult and the reserved ticket for a child is

    216 + {{{x/2)}}} + (216-x) = 327  dollars.


This equation is your setup. As soon as you got it and as soon as 
you do understand it, half of the problem is just solved.


To solve it to the end, simplify this equation and find x

    {{{x/2}}} + (216-x) = 327 - 216

    {{{x/2}}} + 216 - x =    111

    {{{-x/2}}} = 111 - 216

    {{{-x/2}}} =   -105

        x      =    2*105 = 210.


<U>ANSWER</U>.  The basic fare for the journey for an adult is $210.
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Solved.