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 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 value 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.

Two schools P and Q want to award their selected students on the values of Discipline, politeness and punctuality. The school P wants to awards 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, l and 3 students on the respective values (by giving the same award money for the three values 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 awad 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 a total award money of ₹1600 . School B wants to spend ₹2300 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.

Two schools P and Q want to award their selected students on the values of sincerity, truthfulness and hard work at the rate of Rs x, Rs y and Rs z for each respective value per person. The school P awards its 2,3 and 4 students on the above respective values with a total prize money of Rs 4,600. School Q wants to to award its 3, 2 and 3 students on the respective values with a total award money of Rs 4,100. If the total amount of award money for one prize on each value is Rs 1,500, using matrices, find the award money for each value. Suggest one other value which the school can consider for awarding the students .

Case Study: The purpose of discipline in the workplace is to input of quality in a timely manner. So, two offices A and B want to award their employees on the values of Honesty, Hard work and Punctuality. Rewarding is a way of motivating one person to perform 'better. The office A wants to award Rs x each, y each and Rs z each for the three respective values to its 3, 2 and 1 employees respectively with a total award money of Rs 2200. Office B wants to spend * Rs 3100 to award its 4, 1 and 3 employees on the respective values (by giving the same award money to the three values as office A). The total amount of award for one prize on each value is Rs 1200. It also serve as a healthy competition between employees for becoming a best asset of the company. Using the concept of matrices and determinants, answer the following questions. The minor of element 6 in the determinant |{:(1,2,3),(4,5,6),(7,8,9):}| is :

Case Study: The purpose of discipline in the workplace is to input of quality in a timely manner. So, two offices A and B want to award their employees on the values of Honesty, Hard work and Punctuality. Rewarding is a way of motivating one person to perform 'better. The office A wants to award Rs x each, y each and Rs z each for the three respective values to its 3, 2 and 1 employees respectively with a total award money of Rs 2200. Office B wants to spend * Rs 3100 to award its 4, 1 and 3 employees on the respective values (by giving the same award money to the three values as office A). The total amount of award for one prize on each value is Rs 1200. It also serve as a healthy competition between employees for becoming a best asset of the company. Using the concept of matrices and determinants, answer the following questions. The cofactor matrix of the determinant | {:(-1, 4),(9,2):}| is :

Two schools, P and Q, want to award their selected students for the values of sincerity, truthfulness and hard work at the rate of

A sum of Rs. 2800 is to be used to award four prizes. If each prize after the first is Rs. 200 less than the preceding prize, find the value of each of the prizes.

Two schools A and B decided to award prizes to their students for three values, team spirit, truthfulness and tolerance at the rate of R sdotx ,R sdoty and R sdotz per student respectively. School A , decided to award a total of Rs. 1,100 for the three values to 3, 1 and 2 students respectively while school B decided to award Rs. 1,400 for the three values to 1, 2 and 3 students respectively. If one prize for all the three values together amount to Rs. 600 then (i) Represent the above situation by a matrix equation after forming linear equations. (ii) Is it possible to solve the system of equations so obtained using matrices ? (iii) Which value you prefer to be rewarded most and why ?

Sunil wants to spend Rs 200 on two types of sweets, costing Rs 7 and Rs 10 respectively. What is the maximum number of sweets he can get so that no money is left over ?