Question

Male Gorillas can be classified into three groups: The alpha males who dominate the pack; The beta males consisting mainly of the younger animals who are still learning the ropes; and The gamma males made up of the older males and others who have lost the plot. A zoo is planning to establish a colony of gorillas and is considering the relative numbers of each type that should be allowed. Let x,y and z be the number of alpha, beta and gamma males respectively. Experience has shown that the number of alpha males should be equal to one fifth of the sum of beta and gamma males. Solve this system in terms of a parameter t.

          Male Gorillas can be classified into three groups:
The alpha males who dominate the pack;
The beta males consisting mainly of the younger animals who are still learning the ropes; and
The gamma males made up of the older males and others who have lost the plot.
A zoo is planning to establish a colony of gorillas and is considering the relative numbers of each type that should be allowed.
Let  x,y
 and  z
 be the number of alpha, beta and gamma males respectively.  Experience has shown that the number of alpha males should be equal to one fifth of the sum of beta and gamma males. Solve this system in terms of a parameter  t.

Added by Brooke A.

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