A bag contains green marbles and red marbles, 42 in total. The number of green
marbles is 6 more than 5 times the number of red marbles. How many green marbles
are there?​

Respuesta :

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.

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