Answer:
The cost of each share in the software company is $25 and the cost price each share in biotechnology is $33.
Step-by-step explanation:
Let The cost of each share in the software company be = x
and each share in biotechnology be = y
The cost price of 14 shares in the software company and 14 share in biotechnology is = 14x+14y
The cost price of 100 shares in the software company and 99 share in biotechnology is = 100x + 99y
According to the problem,
14x + 14y= 812
⇔x+y = 58..........(1)
and
100x + 99y=5767..........(2)
Equation (1) ×100 - Equation (2)
100x +100y -(100x+99y) = 5800-5767
⇔100x +100 y -100x-99y=33
⇔y=33
putting the value of y in equation (1)
x+33=58
⇔x=58-33
⇔x=25
The cost of each share in the software company is$25 and the cost price each share in biotechnology is $33.