The ratio of North America, butterflies to South America, butterflies. At a butterfly park is 5 third, the ratio of South America, butterflies to Europe. Butterflies is 3 two, there are 30 North American butterflies at the butterfly park. How many South American butterflies are there? And how many European butterflies are there?

1 answer

The ratio of North America butterflies to South America butterflies is 5:3. Since there are 30 North American butterflies, we can set up the equation 5/3 = 30/x, where x is the number of South American butterflies.

Cross-multiplying, we get 5x = 3 * 30 = 90.

Dividing both sides by 5, we find x = 18. Therefore, there are 18 South American butterflies at the butterfly park.

The ratio of South America butterflies to Europe butterflies is 3:2. Using the same method as above, we can set up the equation 3/2 = 18/y, where y is the number of European butterflies.

Cross-multiplying, we get 3y = 2 * 18 = 36.

Dividing both sides by 3, we find y = 12. Therefore, there are 12 European butterflies at the butterfly park. Answer: \boxed{18} South American butterflies and \boxed{12} European butterflies.