Question

The ratio of cats to dog at the animal shelter is 4:5 if there are 20 cats.

A group of animals arrive at the shelter and the ratio of cats to dogs becomes 5:3.
work out the smallest number of new animals that could have arrived at the shelter

Answer 1

Answer: 25 cats and 15 dogs

Explanation:

If the ratio of cats to dogs is 4:5 and the amount of cats is 20, you can evenly distribute this product by multiplying 5 on each side, meaning there would be 20 cats and 25 dogs.

For the group of animals that has just arrived, the amount of cats went up by 1.25% and the amount of dogs went down by 1.67%. To figure out the new total of animals, you are going to have to divide or multiply both sides of the ratio depending if they increased or decreased.

So in the ratio 5:3, you would multiply 20 and 1.25 to get 25, and divide 25 and 1.67 to get 15. Your final answer should be 25:15