Question
In a family of 10, the men eat on average 40 kg
of food and women eat on an average 30 kg of food. The men and women are equal in number. A woman joined the family for dinner and the average consumption became 45. How much did woman eat (in kgs)?Solution
As men and women are equal so , there are 5 women and 5 men so, total consumption will be 40 × 5 = 200 (by men) and 30 × 5 = 150 (by women)
Total consumption = 350 kg
But after including a woman the average consumption for 11 people is given to be 45.
So the total consumption will be 45 × 11 = 495 kg
So, woman’s consumption will be = 495 – 350 = 145 kg