Ratio, SM-Bank 017

The ratio of dogs to cats in an animal rescue shelter is \(5:4\).

What fraction of the animals are dogs? (1 mark)

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What fraction of the animals are cats? (1 mark)

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If there are 36 animals in the shelter, how many are dogs? (2 marks)

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Show Answers Only

a. \(\dfrac{5}{9}\)

b. \(\dfrac{4}{9}\)

c. \(20\ \text{dogs}\)

Show Worked Solution

a. \(\text{Total animals}=5+4=9\)

\(\text{Fraction dogs}=\dfrac{5}{9}\)

b. \(\text{Fraction cats}=\dfrac{4}{9}\)

c.	\(\text{Number of dogs}\)	\(=\dfrac{5}{9}\times 36\)
		\(=20\)

\(\therefore\ \text{There are }20\ \text{dogs in the shelter.}\)