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    A person spent ₹ 273 on buying a total of 50 packets of chips and biscuits. If the cost of each packet of chips is ₹ 6 and that of each biscuit packet
    Question

    A person spent ₹ 273 on buying a total of 50 packets of chips and biscuits. If the cost of each packet of chips is ₹ 6 and that of each biscuit packet is ₹5, then how many more biscuit packets than chips packets did he buy?

    A.

    5

    B.

    4

    C.

    6

    D.

    3

    Correct option is B

    Given:

    The total expenditure is ₹273.

    The cost of each packet of chips is ₹6.

    The cost of each packet of biscuits is ₹5.

    The total number of packets bought is 50.

    Solution:

    Let the number of chips packets be x and the number of biscuit packets be y.

    From the given information, we know:

    x + y = 50 (Total packets bought).

    6x + 5y = 273 (Total expenditure).

    Solve the system of equations:

    x + y = 50 (Equation 1)

    6x + 5y = 273 (Equation 2)

    From Equation 1, solve for y:

    y = 50 - x

    Substitute y = 50 - x into Equation 2:

    6x + 5(50 - x) = 273

    Simplify and solve for x:

    6x + 250 - 5x = 273

    x = 273 - 250

    x = 23

    Now, substitute x = 23 back into Equation 1 to find y:

    23 + y = 50

    y = 50 - 23

    y = 27

    The number of biscuit packets is 27, and the number of chips packets is 23.

    The difference in the number of packets:

    27 - 23 = 4

    So, the person bought 4 more biscuit packets than chips packets.

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