Answer:
6 tanks would required to fill in equal number of fishes in each tank.
Step-by-step explanation:
Given:
Number of Angel Fish = 12
Number of Sword tail fish =24
Number of guppies =30
We need to find the greatest number of tanks containing equal number of fishes.
Solution:
to find the greatest number of tanks containing equal number of fishes we will find the greatest prime factors of the number.
Multiples of 12 = ![2\times 2\times 3](https://tex.z-dn.net/?f=2%5Ctimes%202%5Ctimes%203)
Multiples of 24 = ![2\times 2\times 2\times 3](https://tex.z-dn.net/?f=2%5Ctimes%202%5Ctimes%202%5Ctimes%203)
Multiples of 30 = ![2\times3\times 5](https://tex.z-dn.net/?f=2%5Ctimes3%5Ctimes%205)
From above we get the the Greatest common prime factor = ![3\times 2 =6](https://tex.z-dn.net/?f=3%5Ctimes%202%20%3D6)
Hence 6 tanks would required to fill in equal number of fishes in each tank.