A total amount of Rs. 7,000 is deposited in three different savings bank accounts with annual interest rates of 5%, 8% and 81/2% respectively. The total annual interest from these three accounts is Rs. 550. Equal amounts have been deposited in 5% and 8% savings accounts. Find the amount deposited in each of the three accounts, with the help of matrices. Write the value.

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 its 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 for the three values as school P). If the total amount of award for one prize on each value is Rs. 1,200. Using matrices, find the award money for each value. Apart from the above these three values, suggest one more value which should be considered for award.

Two schools P and Q want to award their selected students on the values of Discipline, Politeness and Punctuality. The school P wants to award Rs. x each, Rs. y each and Rs. z each for the three respective values to its 3, 2 and 1 students with a total award money of Rs. 1,000. School Q wants to spend Rs. 1,500 to award its 4, 1 and 3 students on the respective values (by giving the same award money for the three values as before). If the total amount of awards for one prize on each value is Rs. 600. Using matrices, find the award money for each value. Apart from the above three values, suggest one more value for awards.

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 Rs. x each, Rs. y each and Rs. z each for the three respective values to its 3, 2 and 1 students with a total award money of Rs. 1,600. School B wants to spend Rs. 2,300 to award its 4, 1 and 3 students on the respective values (by giving the same award money for the three values as before). If the total amount of awards for one prize on each value is Rs. 900. Using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

Two schools A and B want to award their selected teachers on the values of Honesty, Hard work and Regularity. School A wants to award Rs. x each, Rs. y each and Rs. z each for the three respective values to 3, 2 and 1 teachers with a total award money of Rs.1.28 lakh. School B wants to spend Rs. 1·54 lakh to award its 4, 1 and 3 teachers on the respective values (by giving the same award money for the three values as before). If the total amount of award for one prize on each value is Rs. 57,000, using matrices, find the award money for each value.