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

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

 School/Article School X School Y School z Hand-held fans 30 40 35 Mats 12 15 20 toys 70 55 75

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.

#### Solution

[[30,12,70],[40,15,55],[35,20,75]][[25],[100],[50]]

=[[30xx25+12xx100+70xx50],[40xx25+15xx100+55xx50],[35xx25+20xx100+75xx50]]

=[[5450],[5250],[6625]]=[[x],[y],[z]]

The funds collected by X = Rs. 5450, Y = Rs. 5250, Z = Rs. 6625
Total funds collected = Rs. 17325
Value generated: team work

Concept: Multiplication of Two Matrices
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2014-2015 (March) Panchkula Set 1

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