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10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

  • question_answer
    Romila went to a stationary stall and purchased 2 pencils and 3 erasers for Rs 9. Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought 4 pencils and 6 erasers of the same kind for Rs 18. The algebraic representation of situation is

    A) \[2x+3y=9,3x+5y=18\]

    B) \[2x+4y=8,4x+6y=18\]

    C) \[2x+3y=9,4x+6y=18\]

    D) None of the above

    Correct Answer: C

    Solution :

    Let the cost of 1 pencil be Rs x and that of one eraser be Rs y.
    It is given that Romila purchased 2 pencils and 3 erasers for Rs 9.
    \[\therefore \,\,\,2x+3y=9\]
    It is also given that Sonali purchased 4 pencils and 6 erasers for Rs 18
    \[\therefore \,\,\,4x+6y=18\]
    Algebraic Representation The algebraic representation of the given situation is
    \[2x+3y=9\]              ...(i)
    \[4x+6y=18\]              ...(ii)


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