Question

a pet shop manager wants the same number of birds in each cage.he wants to use as few cages as possible, but can only have one type in each cage. if he has 42 parakeets and 18 canaries how many birds will he put in each cage

Answer 1

To determine how many birds the pet shop manager should put in each cage, we find the greatest common divisor of 42 and 18, which is 6. Therefore, the pet shop manager should put 6 birds in each cage for uniformity and minimizing the number of cages.

Step-by-step explanation:

The question concerns finding the highest number that can evenly divide into both 42 parakeets and 18 canaries so that each cage contains the same number of birds and the least number of cages is used. This involves finding the greatest common divisor (GCD) of the two numbers.

To find the GCD, we list the factors of each number:
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 18: 1, 2, 3, 6, 9, 18
The common factors are 1, 2, 3, and 6, so the GCD of 42 and 18 is 6.

Therefore, the pet shop manager should put 6 birds in each cage to have the same number of birds per cage while using the fewest cages possible.

Answer 2

in order to find out the answer to this question you need to find out about how many birds can fit in a cage.
After obtaining this information, you can easily divided the number of birds with the maximum amount of birds in the cage (since he only want one species per cage)

hope this helps