Question

Three school A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs $25$, Rs $100$ and Rs $50$ each. The number of articles sold are given below:

Articles	School A	School B	School C
Hand-fans	$40$	$25$	$35$
Mats	$50$	$40$	$50$
Plates	$20$	$30$	$40$

Find the fund collected by each school separately by selling the above articles. Also, find the total funds collected for the purpose.

Answer 1

The funds collected by the schools can be obtained by matrix multiplication:

$\left[\begin{array}{ccc}40& 50& 20\\ 25& 40& 30\\ 35& 50& 40\end{array}\right]\left[\begin{array}{c}25\\ 100\\ 50\end{array}\right]=\left[\begin{array}{c}7000\\ 6125\\ 7875\end{array}\right]$.

funds collected by school A $=7000$

funds collected by school B $=6125$

funds collected by school C $=7875$

Total funds collected $=7000+6125+7875=21000$