Hank has 48 fish in his aquarium he has 11 times as many tetras as guppies. How many of each type of fish does Hank have?

Mathematics · Middle School · Sun Jan 24 2021

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Given the statement:

Hank has 48 fish in his aquarium he has 11 times as many tetras as guppies.

Determine how many of each type of fish does Hank have.

Solution:

It is stated in the given that Hank has Guppies and Tetras, but we do not know the exact value, hence we can assign a representation and solve for the number of fishes.

Let x = Number of Guppies

11x = Number of Tetras

Equate the two representation, having a sum of 48

11x + x = 48 

12x = 48

Divide both sides by 12 in order to cancel out 12x and determine the value of x.

12x/12 = 48/12

x = 4

Number of Guppies = 4

Number of Tetras
= (11)(4)
= 44

Final answer:

Number of Guppies = 4

Number of Tetras = 44