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 < x each, < y each and < z each for the three respective values to 3, 2 and 1 students respectively with a total award money of < 2,200. School Q wants to spend < 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 value is < 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.
