math problem

Question

julie is setting up fish tanks at the pet store. she has 51 angel fish, 68 gold fish and 102 guppies. if each tank must have exactly the same number of angel fish, the same number of gold fish and the same number of guppies, what is the greatest number of tanks she can have

Answer 1

So take the prime factorization for each number.

 

51 = 3*17

68 = 2*2*17

102 = 2*3*17

 

So the largest number that goes into all of these numbers is 17.

 

So you can have 17 tanks, each of which has  3 angel fish, 4 goldfish and 6 guppies.

 

Hope this helped.