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 ?

Two schools A and B decided to award prizes to their students for three values honesty (x) , puntuality (y) and obedience (z) . School A decided to award a total of ₹11000 for the three values to 5,4 and 3 students respectively while school B decided to award ₹10700 for the three values to 4,3 and 5 students respectively. If all the three prizes together amount to ₹2700 , then : (i) Represent the above situation by a matrix equation and form linear equations, using matrix multiplication. (ii) Is it possible to solve the system of equations so obtained, using matrix multiplication?

Two factories decided to award their employees for three values of (a) adaptable to new techniques, (b) careful and alert in difficult situations and (c) keeping calm in tense situations, at the rate of Rs x ,\ y\ a n d\ z per person respectively. The first factory decided to honour respectively 2, 4 and 3 employees with a total prize money of Rs 29000. The second factory decided to honour respectively 5, 2 and 3 employees with the prize money of Rs 30500. If the three prizes per person together cost Rs 9500, then represent the above situation by a matrix equation and form linear equations using matrix multiplication. Solve these equations using matrices. (iii) Which values are reflected in the questions?

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 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.

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

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 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 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 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 .