South America butterfly at butterfly park is 5:3 and Europe Butterflies are 3:2 and 30 North America at butterfly park. How many South America butterfly are there and how many European butterfly are there

Respuesta :

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.

ACCESS MORE
EDU ACCESS