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?

#### Solution

School |
|||

Article |
A |
B |
C |

Paper Bags | 25 | 22 | 26 |

Scrapbooks | 12 | 15 | 18 |

Pastel Sheets | 34 | 28 | 36 |

The number of articles sold by each school can be written in the matrix form as follows:

`X=[[25,22,26],[12,15,18],[34,28,36]]`

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.