Answer :

Given the details of two families A and B.

A: 4 men, 6 women and 2 children

B: 2 men, 2 women and 4 children

Hence, the number of people in both the families A and B can be represented in matrix form with rows denoting the family and columns denoting the number of people of each type as -

The calorie and protein requirements for different types of people are also given.

Men: 2400 calories, 45gm proteins

Women: 1900 calories, 55gm proteins

Children: 1800 calories, 33gm proteins

Hence, the required calories and proteins can be represented in matrix form with each row corresponding to different type of people as –

Now, the required number of calories and proteins for each of the two families can be obtained by taking the product of the matrices X and Y.

Thus, the requirement of calories and protein is as follows –

Family A: 24600 calories and 576 grams protein

Family B: 15800 calories and 332 grams protein

It can be said that a balanced diet with proper amounts of calories and protein must be consumed by the people of all ages in order to lead a healthy life.

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