Question

Three schools X, Y, and Z organized a fete (mela) for collecting funds for flood victims in which they sold hand-held fans, mats and toys made from recycled material, the sale price of each being Rs. 25, Rs. 100 and Rs. 50 respectively. The following table shows the number of articles of each type sold:

$\begin{array}{cccc}School/Article& SchoolX& SchoolY& SchoolY\\ Hand-heldfans& 30& 40& 35\\ Mats& 12& 15& 20\\ Toys& 70& 55& 75\end{array}$

Using matrices, find the funds collected by each school by selling the above articles and the total funds collected. Also write any one value generated by the above situation.

Answer 1

$\left[\begin{array}{ccc}30& 12& 70\\ 40& 15& 55\\ 35& 20& 75\end{array}\right]\left[\begin{array}{c}25\\ 100\\ 50\end{array}\right]=\left[\begin{array}{ccc}30\times 25& 12\times 100& 70\times 50\\ 40\times 25& 15\times 100& 55\times 50\\ 35\times 25& 20\times 100& 75\times 50\end{array}\right]=\left[\begin{array}{c}5450\\ 5250\\ 6625\end{array}\right]=\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]$

The funds collected by X = Rs. 5450, Y = Rs. 5250, Z = Rs. 6625

Total funds collected = Rs. 17325

Value generated: team work