The given question is a word problem from Algebra and requires framing a couple of linear equations and solving the equations.
The basic one-way air fare for a child aged between 3 and 10 years costs half the regular 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?
The correct choice is (C) and the correct answer is $210
Let the basic fare for the child be $X.
Therefore, the basic fare for an adult = $2X.
Let the reservation charge per ticket be $Y
Hence, an adult ticket will cost 2X + Y = $216
And ticket for an adult and a childe will cost 2X + Y + X + Y = 3X + 2Y = 327
Solving for X, we get X = 105.
The basic fare of an adult ticket = 2X = 2*105 = $210