Question

A small pet shop only has hamsters and gerbils left to sell. The ratio of hamsters to gerbils in the shop is 2:9 . The ratio of brown hamsters to grey hamsters is 3:5 . What fraction of the animals left in the pet shop are grey hamsters? Give your answer in its simplest form.

Answer 1

(5/44)

Explanation:

Total fraction of gerbils and hamsters left in the pet shop = 1

The ratio of hamsters to gerbils in the shop is 2:9.

Fraction of hamsters = (2/11) × 1 = (2/11)

The ratio of brown hamsters to grey hamsters is 3:5

What is the fraction of the animals left in the pet shop are grey hamsters?

= (5/8) × (2/11) = (5/44)

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