There are 2 families A and B. There are 4 men, 6 women and 2 children in family A, and 2 men, 2 women and 4 children in family B. The recommended daily amount of calories is 2400 for men, 1990 for women, 1800 for children and 45 grams of proteins for men, 55 grams for women and 33 grams for children. Represent the above information using a matrix. Using matrix multiplication, calculate the total requirement of calories and proteins for each of the two families. What awareness can you create among people about the planned diet from this question?
Matching exercise
Match the items on the right to the items on the left.
STEP 1
STEP 2
STEP 3
STEP 4
STEP 5
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.
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.
