Question

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?​

Answer 1

The number of green marbles are 36.

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
`x`.

So, the number of green marbles =
`6+5x`

Now, to get the number of green marbles.

According to question:

`x+(6+5x)=42`

`6x+6=42`

Subtracting 6 in both sides :

`6x+6-6=42-6`

`6x=36`

Now, by dividing 6 on both sides:

`6x/ 6=36/ 6`

`x=6`

The number of red marbles are 6.

And, the number of green marbles are
`6+5x`

=
`6+5* 6`

=
`6+30`

=
`36`

Therefore, the number of green marbles are 36.