Answer:
The number of green marbles are 36.
Step-by-step explanation:
Given:
Total number of marble bag contains is 42.
The number of green marbles is 6 more than 5 times the number of red marbles.
Let the number of red marbles be [tex]x[/tex].
So, the number of green marbles = [tex]6+5x[/tex]
Now, to get the number of green marbles.
According to question:
[tex]x+(6+5x)=42[/tex]
[tex]6x+6=42[/tex]
Subtracting 6 in both sides :
[tex]6x+6-6=42-6[/tex]
[tex]6x=36[/tex]
Now, by dividing 6 on both sides:
[tex]6x\div 6=36\div 6[/tex]
[tex]x=6[/tex]
The number of red marbles are 6.
And, the number of green marbles are [tex]6+5x[/tex]
= [tex]6+5\times 6[/tex]
=[tex]6+30[/tex]
= [tex]36[/tex]
Therefore, the number of green marbles are 36.