Answer:
There are <u>18</u> South American butterflies and <u>12</u> European butterflies.
Step-by-step explanation:
<u>The question is incomplete so the complete question is below: </u>
The ratio of North American butterflies to South American butterflies at a butterfly park is 5:3.The ratio of South American butterflies to European butterflies is 3:2. There are 30 North American butterflies at the butterfly park.
How many South American butterflies are there and how many European butterflies are there ?
Now, to find the number of South American butterflies European butterflies are there.
Let the number of South American butterflies be ![x.](https://tex.z-dn.net/?f=x.)
The North American butterflies = 30.
As, given the ratio of North American butterflies to South American butterflies at a butterfly park is 5:3.
<em>So, 5 is equivalent to 3.</em>
<em>Thus, 30 is equivalent to </em>
<em />
Now, to get the number of South American butterflies by using cross multiplication method:
![\frac{5}{3} =\frac{30}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%20%3D%5Cfrac%7B30%7D%7Bx%7D)
<em>By cross multiplying we get:</em>
![5x=90](https://tex.z-dn.net/?f=5x%3D90)
<em>Dividing both sides by 5 we get:</em>
![x=18.](https://tex.z-dn.net/?f=x%3D18.)
The number of South American butterflies = 18.
Now, to get the number of European butterflies:
Let the number of European butterflies be ![y.](https://tex.z-dn.net/?f=y.)
As, given the ratio of South American butterflies to European butterflies is 3:2.
<em>So, 3 is equivalent to 2.</em>
<em>Thus, 18 is equivalent to </em>
<em> .</em>
So, to solve by using cross multiplication method:
![\frac{3}{2} =\frac{18}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%3D%5Cfrac%7B18%7D%7By%7D)
<em>By cross multiplying we get:</em>
![3y=36](https://tex.z-dn.net/?f=3y%3D36)
<em>Dividing both sides by 3 we get:</em>
![y=12.](https://tex.z-dn.net/?f=y%3D12.)
The number of European butterflies = 12.
Therefore, there are 18 South American butterflies and 12 European butterflies.