System of Linear Equations in two variables | GMAT Algebra Word Problem | GMAT 650 level Question

GMAT Preparation Online | Algebra Sample Question | Linear Equations – Word Problem | Problem Solving Practice

A GMAT 650 level Algebra Question.

Question
The basic one-way fare for a child 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 costs $327. What is the basic fare for the journey for an adult?

A. $111
B. $52.5
C. $210
D. $58.5
E. $6

Approach:
Step 1: Assign variables and frame equations using the information given in the question stem.
Step 2: Solve the equations to find the value of the unknowns.
Step 3: Use the values thus obtained to find the answer.

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