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?
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.
To solve this problem, we can use a proportionality approach.
Given:
Ratio of North America butterflies to South America butterflies = 5/3
Ratio of South America butterflies to Europe butterflies = 3/2
Number of North America butterflies = 30
Let's find the number of South America butterflies first:
Step 1: Set up a proportion to find the number of South America butterflies.
Ratio of North America butterflies to South America butterflies = 5/3
Number of North America butterflies = 30
Number of South America butterflies = ?
We can write the proportion as:
5/3 = 30/x
Step 2: Cross multiply and solve for x.
5x = 3 * 30
5x = 90
x = 90/5
x = 18
Therefore, there are 18 South American butterflies.
Now, let's find the number of European butterflies:
Step 3: Set up another proportion to find the number of European butterflies.
Ratio of South America butterflies to Europe butterflies = 3/2
Number of South America butterflies = 18
Number of European butterflies = ?
We can write the proportion as:
3/2 = 18/y
Step 4: Cross multiply and solve for y.
3y = 2 * 18
3y = 36
y = 36/3
y = 12
Therefore, there are 12 European butterflies.
In conclusion, there are 18 South American butterflies and 12 European butterflies at the butterfly park.
To find the number of South American butterflies, we need to determine the ratio of North American butterflies to South American butterflies. Given that the ratio of North America butterflies to South America butterflies is 5:3, we can set up the following proportion:
North American butterflies / South American butterflies = 5 / 3
Substituting the value given (30 North American butterflies), we have:
30 / South American butterflies = 5 / 3
To solve for the number of South American butterflies (S), we can cross-multiply and solve for S:
30 * 3 = 5 * South American butterflies
90 = 5 * South American butterflies
Dividing both sides by 5:
South American butterflies = 90 / 5
South American butterflies = 18
Therefore, there are 18 South American butterflies at the butterfly park.
To find the number of European butterflies, we need to determine the ratio of South American butterflies to European butterflies. Given that the ratio of South America butterflies to Europe butterflies is 3:2, we can set up the following proportion:
South American butterflies / European butterflies = 3 / 2
Substituting the value we found for South American butterflies (18), we have:
18 / European butterflies = 3 / 2
To solve for the number of European butterflies (E), we can cross-multiply and solve for E:
18 * 2 = 3 * European butterflies
36 = 3 * European butterflies
Dividing both sides by 3:
European butterflies = 36 / 3
European butterflies = 12
Therefore, there are 12 European butterflies at the butterfly park.