Two institutions decided to award their employees for the three values resourcefulness, competence and determination in the from of prizes at the rate of₹x, ₹y and ₹z respectively per person. The first institutions decided to award respectively 4,3 and 2 employees with total prize money of ₹37000 and the second institution decided to award respectively 5,3 and 4 employees with total prize money of ₹47000. If all the three prizes per person together amount to ₹12000, then using matrix method find the value of x,y and z. What values are described in this equations?
Matching exercise
Match the items on the right to the items on the left.
Step 1
Step 2
Step 3
Step 4
Step 5
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Step 7
Let the numbers are x, y, z be the cash awards for Resourcefulness, Competence, and Determination respectively 4x + 3y + 2z = 37000 …… (i) 5x + 3y + 4z = 47000 …… (ii) x + y + z = 12000 …… (iii)
