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The marine life store would like to set up fish tanks that contain equal numbers of angelfish swordtails and guppies what is the greatest number of tanks I can be set up of the store has 12 angelfish 24 swordtails and 30 guppies

Verified Answer :

Answer:

The greatest number of tanks is 6 tanks

Step-by-step explanation:

To find the greatest number of tanks that set up to contain 12 angel fish , 24 sword tails and 30 guppies.

We use GCF (Greatest Common Factor) for 12, 24 and 30.

The factors of 12, 24 ,and 30 is

\(12=2\times 2\times 3\)

\(24=2\times 2\times 2\times 3\)

\(30=2\times 3\times 5\)

Therefore, the GCF of 12, 24 and 30 is  \(2\cdot 3=6\)

or

since  \(6\times(2+4+5\) ) = 12+24+30 fish

therefore, 6 tanks set up with 2 angel fish , 4 sword tails and 5 guppies.