Two schools P and Q want to award their selected students on the values of Tolerance, Kindness, and leadership. The school P wants to award Rs x each, Rs y each and Rs z each for the three respective values to 3,2 and 1 students respectively with total award money of Rs. 2200. School Q wants to spend Rs 3100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P). If the total amount of award to one prize on each value is Rs. 1200, using matrices, find the following: What is the award money for leadership? (a) 300 (b) 280 (c) 450 (d) 500
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