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    Question

    In a family of 16, the men eat on average 70 kg

    of food and women eat on an average 65 kg of food. The men and women are equal in number. A woman joined the family for dinner and the average consumption became 66. How much did woman eat (in kgs)?
    A 90 Correct Answer Incorrect Answer
    B 42 Correct Answer Incorrect Answer
    C 77 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    As men and women are equal so , there are 8 women and 8 men so, total consumption will be 70 × 8 = 560 (by men) and 65 × 8 = 520 (by women)
    Total consumption = 1080 kg
    But after including a woman the average consumption for 17 people is given to be 66.
    So the total consumption will be 66 × 17 = 1122 kg
    So, woman’s consumption will be = 1122 – 1080 = 42 kg

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