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. 11 to 15
    Mr. Jayant sahu arranged dinner party for some of his friends. The expenses of the dinner are partly constant and partly proportional to the number of guests. The expenses amount to Rs 450 for 5 guest and Rs 850 for 10 guests.
    Denote the constant expense by Rs x and proportional expense per person by Rs y and answer the following questions.
    Represent both the situations algebraically

    A) \[x+5y=850,x+10y=450\]

    B) \[x-5y=850,x-10y=450\]

    C) \[x+5y=450,x+10y=850\]

    D) None of the above

    Correct Answer: C

    Solution :

    For the first case,
    Cost (proportional) for 5 guests = 5y
    Total cost = 450
    Then, the situation is x + 5y = 450
    For the second case,
    Cost (proportional) for 10 guests = 10y
    Total cost = 850
    Then, the situation is x + 10y = 850
     


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