To raise money for an orphanage, students of three schools A, B and C organised 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 5 per unit respectively. School A sold 25 paper bags, 12 scrap-books and 34 pastel sheets. School B sold 22 paper bags, 15 scrap-books and 28 pastel sheets while School C sold 26 paper bags, 18 scrap-books and 36 pastel sheets. Using matrices, find the total amount raised by each school.
By such exhibition, which values are generated in the students?
The number of articles sold by each school can be written in the matrix form as follows:
The rate of each article can be written in the matrix form as follows:
Y=[20 15 5]
The amount collected by each school is given by
YX=[20 15 5]`[[25,22,26],[12,15,18],[34,28,36]]`
YX=[850 805 970]
Thus, the amount collected by schools A, B and C are Rs 850, Rs 805 and Rs 970, respectively.
∴ Total amount collected = Rs (850 + 805 + 970)
= Rs 2,625
The situation highlights the helpful nature of the students.
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