Respuesta :

Answer:

The biologist collected 60 fern samples.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of fern samples collected

y is the number of moss samples collected

A biologist collected 230 fern and moss samples.

This means that [tex]x + y = 230[/tex]

There were 110 fewer ferns than moss samples.

This means that [tex]x = y - 110[/tex]

How many fern samples did the biologist collect?

we want to find x

[tex]x + y = 230[/tex]

[tex]x = y - 110[/tex]

From the second equation

[tex]y = x + 110[/tex]

Replacing in the first equation

[tex]x + x + 110 = 230[/tex]

[tex]2x = 120[/tex]

[tex]x = \frac{120}{2}[/tex]

[tex]x = 60[/tex]

The biologist collected 60 fern samples.