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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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