here are three families. First family consists of 2 male members, 4 female members and 3children. Second family consists of 3 male members, 3 female members and 2 children. Third family consists of 2 male members, 2 female members and 5 children. Male member earns Rs500 per day and spends Rs 300 per day. Female member earns Rs 400 per day and spends Rs250 per day child member spends Rs 40 per day. Find the money each family saves per day using matrices?
the savings by male member = 500-300=200/-
the savings by female member = 400-250 = 150/-
the savings by child member = 0-40 = - 40/-
let the savings by the 1st, 2nd and 3rd family be x, y and z respectively:
therefore
thus the savings by 1st family is 880/-.
savings by 2nd family is 970/-
savings by 3rd family is 500/-
hope this helps you.
the savings by female member = 400-250 = 150/-
the savings by child member = 0-40 = - 40/-
male | female | child | |
Ist family | 2 | 4 | 3 |
2nd family | 3 | 3 | 2 |
3rd family | 2 | 2 | 5 |
savings | 200 | 150 | -40 |
let the savings by the 1st, 2nd and 3rd family be x, y and z respectively:
therefore
thus the savings by 1st family is 880/-.
savings by 2nd family is 970/-
savings by 3rd family is 500/-
hope this helps you.