10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Case Based (MCQs) - Pair of Linear Equations in Two Variables

  • question_answer
    Case Study : Q. 26 to 30
    Gagan went to a local mela. He ate several rural delicacies such as jalebis, chaat etc. He also wanted to play the ring game in which a ring is thrown on the items displayed on the table and the balloon shooting game.
    The cost of three balloon shooting games exceeds the cost of four ring games by Rs. 4. Also, the total cost of three balloon shooting games and four ring games is Rs.20.
    Based on the given information, answer the following questions:
    Taking the cost of one ring game to be Rs.x and that of one balloon game as Rs.y, the pair of linear equations describing the above:

    A) \[-\text{4x}-\text{3y}=-\text{4}\]and \[\text{4x}+\text{3y}=\text{2}0\]

    B) \[\text{4x}-\text{3y}=\text{4}\]and \[\text{4x}+\text{3y}=\text{2}0\]

    C) \[\text{4x}-\text{3y}=-\text{4}\]and \[\text{4x}+\text{3y}=\text{2}0\]

    D) \[-\text{4x}+\text{3y}=-\text{4}\]and \[\text{4x}+\text{3y}=\text{2}0\]

    Correct Answer: C

    Solution :

    Given: The cost of one ring game \[=\text{Rs}.\text{x}\] and cost of one balloon game\[=\text{Rs}.y\].
    According to the question,
    \[3y=4x+4\] or \[4x-3y=-4\]              ...(1)
    and       \[4x+3y=20\]                         ...(2)
    So, option [c] is correct.


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