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 = [tex]2\times 2\times 3[/tex]
Multiples of 24 = [tex]2\times 2\times 2\times 3[/tex]
Multiples of 30 = [tex]2\times3\times 5[/tex]
From above we get the the Greatest common prime factor = [tex]3\times 2 =6[/tex]
Hence 6 tanks would required to fill in equal number of fishes in each tank.
