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Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.What fraction of the fish in Gary's tank are red guppies?Show your work.

User Hoang Hiep
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2 Answers

6 votes
How many fish are there in all? We need that to answer the question.
User Vendettacore
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8.2k points
2 votes

Answer:


(1)/(10)

Explanation:

Given: Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.

To Find: What fraction of the fish in Gary's tank are red guppies.

Solution:

Let total number of fish in tank be
=\text{x}

Number of guppies in tank are
=(2)/(5)\text{of total fish}

Number of guppies in tank are
=(2)/(5)\text{x}

Number of red guppies in tank are
=(1)/(4)\text{of total guppies}


(1)/(4)*(2)/(5)\text{x}


(1)/(10)\text{x}

Now,

fraction of the fish in Gary's tank that are red guppies


=\frac{\text{red guppies}}{\text{total fish in Gary's tank}}


\frac{(1)/(10)\text{x}}{\text{x}}


(1)/(10)

Hence
(1)/(10) of total fish are red guppies.

User Yashar Habibi
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