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A school wants to award its students for the value of honesty, regularity and hard work will total cash award of Rs. `6000.` Three times the award money for hard work added to that added to that given for honesty amounts to Rs. `11000.` The award money given for honesty and hard work together is double the one given for regularity. Represent the above situation algebraically and find the award money for each value, using matrix method.

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Two schools P\ a n d\ 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 a total award money of Rs 2,200. School Q wants to spend Rs 3,100 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 for one prize on each values is Rs 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

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