A sum of $ 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is $20 less than its preceding prize, find the value of each of the prizes.

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 1000. School Q wants to spend Rs 1500 to award its 4, 1 and 3 students on the respective values (by giving the same award money for the three values as by school P). If the total amount of award for one prize on each value is Rs. 600. using matrices, find the award money for each value. Apart from above three values, suggest one value of awards.

The following matrix depicts the number of students of a school who were awarded for Discipline, Attendance and Obedience. If the prize money for the three values were respectively Rs.500, Rs.200 and Rs.300, find the total prize money received by boys.

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 and Rs y each and Rs Z each of the three respective values to 3,2 and 1 students respectively with a total award money of Rs 1600. School B wants to spend Rs 2300 to award its 4,1 and 3 students on respective values (b 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 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.

The following matrix depicts the number of students of a school who were awarded for Discipline, Attendance and Obedience. If the prize money for the three values were respectively Rs.500, Rs.200 and Rs.300, Name one more value for which prize can be give.

The following matrix depicts the number of students of a school who were awarded for Discipline, Attendance and Obedience. If the prize money for the three values were respectively Rs.500, Rs.200 and Rs.300, find who is more careful about the ethical values, boys or girls?

The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some other (sayz) for supervising the workers to keep the colony neat and clean. The sum of all the awardees is 12. Three times the sum of the awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. If the sum of the number of awardees for honesty and supervision is twice the number of awardees for helping others. Using matrix method, find the number of awardees of each category, Apart form these values, namely honesty, cooperation and supervisio, suggest one more value, which the management of the colony must include for award.