An experiment involving learning in animals requires placing white mice and rabbits into separate, controlled environments, environment I and environment II. The maximum amount of time available in environment I is 500 minutes, and the maximum amour of time available in environment II is 600 minutes. The white mice must spend 10 minutes in environment I and 25 minutes in environment II, and the rabbits must spend 15 minutes in environment I and 15 minutes in environment II. Find the maximum possible number of animals that can be used in the experiment, and find the number of white mice and the number of rabbits that can be used.
To find the maximum possible number of animals that can be used in the experiment, we need to determine how many animals can fit within the time constraints of each environment.
Let's start with environment I:
The white mice must spend 10 minutes in environment I, so the maximum number of white mice that can be placed in environment I is 500 minutes / 10 minutes = 50 white mice.
The rabbits must spend 15 minutes in environment I, so the maximum number of rabbits that can be placed in environment I is 500 minutes / 15 minutes = 33 rabbits.
Moving on to environment II:
The white mice must spend 25 minutes in environment II, so the maximum number of white mice that can be placed in environment II is 600 minutes / 25 minutes = 24 white mice.
The rabbits must spend 15 minutes in environment II, so the maximum number of rabbits that can be placed in environment II is 600 minutes / 15 minutes = 40 rabbits.
To find the maximum possible number of animals, we need to consider the common constraints of both environments. In this case, the maximum number of animals that can be used is determined by the more restrictive environment, which is environment II.
Therefore, the maximum possible number of animals that can be used in the experiment is 24 animals.
To find the specific number of white mice and rabbits, we can calculate based on the individual constraints of each environment.
In environment I, the maximum number of white mice that can be placed is 50, and the maximum number of rabbits is 33.
In environment II, the maximum number of white mice that can be placed is 24, and the maximum number of rabbits is 40.
Since we want to maximize the number of animals, we choose the environment with the lower number of animals. In this case, the number of white mice is the constraint, as only 24 mice can be placed in environment II.
Therefore, the maximum possible number of white mice is 24, and the maximum possible number of rabbits is 33.
In summary, for the experiment involving learning in animals, a maximum of 24 white mice and 33 rabbits can be used, resulting in a total of 57 animals.