Question
In a family of 8, the men eat on average 70 kg of food
and women eat on an average 51 kg of food. The men and women are equal in number. A woman joined the family for dinner and the average consumption became 61. How much did woman eat (in kgs)?Solution
As men and women are equal so , there are 4 women and 4 men so, total consumption will be 70 × 4 = 280 (by men) and 51 × 4 = 204 (by women) Total consumption = 484 kg But after including a woman the average consumption for 9 people is given to be 61. So the total consumption will be 61 × 9 = 549 kg So, woman’s consumption will be = 549 – 484 = 65 kg
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