Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award ₹x each ₹y each and ₹ z each for the three respective values to 3, 2 and 1 students respectively with total award money of ₹16,00. School B wants to Spend ₹2,300 to award its 4,1 and 3 students on the respective values (by giving the same award money to the three values as before). If the total amount of award for one prize on each value is ₹900, using matrices, find the award money for each value, Apart from these three values, suggest one more value which should be considered for the award.
Matching exercise
Match the items on the right to the items on the left.
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Let the numbers are x, y,z be the prize amount per person for sincerity, truthfulness and helpfulness respectively.As per the given data we get, 3x + 2y + z = 1600 4x + y + 3z = 2300 x + y + z = 900
