To raise money for 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 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 inculcated in the students?

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Solution

Sale matrix for A,B and C is $⎛ ⎜ ⎝ \begin{matrix} 25 & 12 & 34 22 & 15 & 28 26 & 18 & 36 \end{matrix} ⎞ ⎟ ⎠$
Price matrix is $⎛ ⎜ ⎝ \begin{matrix} 20155 \end{matrix} ⎞ ⎟ ⎠$

$∴ ⎛ ⎜ ⎝ \begin{matrix} 25 & 12 & 34 22 & 15 & 28 26 & 18 & 36 \end{matrix} ⎞ ⎟ ⎠ ⎛ ⎜ ⎝ \begin{matrix} 20155 \end{matrix} ⎞ ⎟ ⎠ = ⎛ ⎜ ⎝ \begin{matrix} 500 + 180 + 170 440 + 225 + 140 520 + 270 + 180 \end{matrix} ⎞ ⎟ ⎠ = ⎛ ⎜ ⎝ \begin{matrix} 850805970 \end{matrix} ⎞ ⎟ ⎠$
So amount raised by A is Rs 850,by B is Rs 805 and by C is Rs 970.
Values: Helping the orphans, Use of recycled paper

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