a farmer has enough food to feed 50 animals in his cattle for 15 days . how long will the food last if there are 25 more animals in his cattle?

The food will last for 10 days

Step-by-step explanation:

Proportions

The amount of food the farmer needs to feed his animals is proportional to the number of animals and to the number of days they are fed.

This can be written as:

Food=k*N*D

Where k is a constant, N is the number of animals and D is the number of days.

We know that the farmer has enough food to feed N=50 animals for D=15 days, thus:

Food=k*50*15=750k

If the same amount of food is used for 50+25=75 animals, then:

750k=k*75*D

Simplifying:

750=75*D

Dividing by 75:

D=10

The food will last for 10 days

The greatest number he can have in each now is 17 oak trees and 9 pine trees. This is assuming that he is not allowed to have just one row.

Step-by-step explanation:

This is because the smallest number both are divisible by other than 1 is 3. Then we can divide the total number of each type by 3.

54 oak/ 3 = 17 oak trees

27 pine/ 3 = 9 pine trees