Respuesta :
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.