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You are here: Home » GMAT Test Prep Questions » Algebra : Word Problems » Question 4

The given question is a word problem from Algebra and requires framing a couple of linear equations and solving the equations.

Question 4

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?

1. $111
2. $52.5
3. $210
4. $58.5
5. $6

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