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

  • question_answer
    Directions: Q. 1 to 5
    From Rajiv Chowk Metro Station, if Charu buys 4 tickets to Karol Bagh and 6 tickets to Hauz Khas, then total cost is Rs 92, but if she buys 6 tickets to Karol Bagh and 10 tickets to Hauz Khas, then total cost is Rs 148.                      
    Consider the fares from Rajiv Chowk to Karol bagh and that to hauz Khas as Rs x and Rs y respectively and answer the following questions.
    1st situation can be represented algebraically as

    A) \[3x-5y=74\]

    B) \[2x+5y=74\]

    C) \[2x-3y=46\]

    D) \[2x+3y=46\]

    Correct Answer: D

    Solution :

    Cost of 4 tickets to Karol Bagh = 4 x
    Cost of 6 tickets to Hauz Khas = 6y
    Total cost = 92
    Then, the situation can be represented algebraically as
                \[4x+6y=92\]
                \[2x+3y=46\]
     


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