Question

To raise money for an orphanage, students of three schools A, B and C organized an exhibition in their locality, where they sold paper bags, scrap-books and pastel-sheets made by them using recycled paper at the rate of Rs 20, Rs 15 and Rs 10 per unit respectively. School A sold 25 paper bags, 10 scrap-books and 30 pastel-sheets. School B sold 20 paper bags, 15 scrap-books and 30 pastel-sheets. While school C sold 25 paper bags, 18 scrap-books and 35 pastel-sheets. Using matrices, find the total amount raised by each school. By such exhibition, which values are inculcated in the students? 

Answer 1

Let Rs x, Rs y and Rs z be raised by the schools A, B and C respectively. 

Then, [x,y,z] = [(25,10,30),(20,15,30),(25,18,35)][20,15,110] = [950,925,1120]

By equality of matrices, we get : x = 950, y = 925, z = 1120. Value : Helping nature.