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Answer:
There are 18 South American butterflies and 12 European butterflies.
Step-by-step explanation:
The question is incomplete so the complete question is below:
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 [tex]x.[/tex]
The North American butterflies = 30.
As, given the ratio of North American butterflies to South American butterflies at a butterfly park is 5:3.
So, 5 is equivalent to 3.
Thus, 30 is equivalent to [tex]x.[/tex]
Now, to get the number of South American butterflies by using cross multiplication method:
[tex]\frac{5}{3} =\frac{30}{x}[/tex]
By cross multiplying we get:
[tex]5x=90[/tex]
Dividing both sides by 5 we get:
[tex]x=18.[/tex]
The number of South American butterflies = 18.
Now, to get the number of European butterflies:
Let the number of European butterflies be [tex]y.[/tex]
As, given the ratio of South American butterflies to European butterflies is 3:2.
So, 3 is equivalent to 2.
Thus, 18 is equivalent to [tex]y[/tex] .
So, to solve by using cross multiplication method:
[tex]\frac{3}{2} =\frac{18}{y}[/tex]
By cross multiplying we get:
[tex]3y=36[/tex]
Dividing both sides by 3 we get:
[tex]y=12.[/tex]
The number of European butterflies = 12.
Therefore, there are 18 South American butterflies and 12 European butterflies.