Answer:
1/3
Step-by-step explanation:
You want to know the fraction that are poodles when 5/9 of animals are dogs, and 3/5 of dogs are poodles.
Substitution
We can write the equations ...
dogs = (5/9)·(animals)
poodles = (3/5)·(dogs)
Using the first equation to substitute into the second, we get ...
poodles = (3/5)·(5/9)·(animals) = 3/9·animals = 1/3·animals
Fraction
Then the fraction that are animals is found by dividing by "animals":
poodles/animals = 1/3
1/3 of the animals in the pet show are poodles.
