Respuesta :

24

4 red marbles and 24 blue

Answer:

You have 24 blue marbles.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of red marbles.

y is the number of blue marbles.

28 red and blue marbles

This means that [tex]x + y = 28[/tex]

The ratio of red to blue is 1:6.

This means that for each red marble(x), we have 6 blue marbles(y). So

y = 6x.

Then

[tex]x + y = 28[/tex]

[tex]x + 6x = 28[/tex]

[tex]7x = 28[/tex]

[tex]x = 4[/tex]

We want the number of blue marbles(y)

[tex]x + y = 28[/tex]

[tex]4 + y = 28[/tex]

[tex]y = 24[/tex]

You have 24 blue marbles.