Question

A school wants to award its students for the values of punctuality, good behavior and hard work with a total cash award Rs. 6,000. Three times the award money for hard work added to that given for punctuality amounts to Rs. 11,000. The award money for punctuality and hard work together is double the one given for good behavior.

Represent the above situation algebraically and also find the award money for each value using matrix method.

Answer 1

Let the values of punctuality, Good Behaviour and Hard work be denoted by x,y & z receptively

Given x + y +z = 6000 ———1

X + 3z = 11000 ———-2

X + z = 2y ⇒ x – 2y + z = 0 ——- 3

Solve these equations by matrix method

Thus x = Rs. 500, y = Rs. 2000 & z = Rs. 3500