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 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 ?

45% of the students in a school are boys. If the total number of students in the school is 880, find the number of girls in the school.

A sum of Rs 280 is to be used to award four prizes. If each prize after the first is Rs 20 less than its preceding prize, find the value of each of the prizes.

Two institutions decided to award their employees for the three values of resourcefulness, competence and determination in the form of prizes at the rate of Rs x ,\ y\ a n d\ z respectively per person. The first institution decided to award respectively 4, 3 and 2 employees with a total prize money of Rs 37000 and the second institution decided to award respectively 5, 3 and 4 employees with a total prize money of Rs 47000. If all the three prizes per person together amount to Rs 12000, then using matrix method find the value of x ,\ y ,\ a n d\ zdot What values are described in this equations?

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

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

A sum of Rs. 1400 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs.40 less than the preceding price, find the value of each of the prizes.

x articles are bought at Rs (x-8) each and (x-2) some other articles are bought at Rs (x-3) each. If the total cost of all these articles is Rs 76, how many articles of first kind were bought?

Anita earns Rs 1800 per moth and Sara earns Rs 2500 per month. They spend Rs 436 and Rs 764 respectively. Find the ratio of their respectively savings.