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. 5 per unit respectively. School A sold 25 paper-bags 12 scrap-books and 34 pastel sheets. School B sold 22 paper-bags, 15 scrapbooks 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 inculcated in the students?
Given:

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 as follows:
Y = [20 15 5]
∴ The amount collected by each school is given by

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YX = [300 + 180 + 170 440 + 225 + 140 520 + 270 + 180]
YX = [650 805 970]
Thus, the amount collected by school A, B and C are Rs. 650, Rs. 805 and Rs 970 respectively.
∴ Total amount collected = Rs (650 + 805 + 970)
= Rs 2425
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