Question

There are some marbles in a box.1/4 of them are red.1/6 of the remainder are bleue and the rest are green.If there are 115 green marbles,how many red marbles are in the box?

Answer 1

The number of red marbles is 46.

Explanation:

Given that, there are some marbles in a box.
`\frac14` of them are red.

Assume x be the number of marbles in the box.

The number of red marble is
`=(1)/(4)* x`

`=(x)/(4)`

The remainder marbles are
`=x-\frac x 4`

`=(4x-x)/(4)`

`=(3x)/(4)`

`\frac16` of the remainder marbles are blue.

The number of blue marbles are
`=(3x)/(4)* \frac{1}6`

`=\frac x8`

The remainder marbles are
`=(3x)/(4)-\frac x8`

`=(6x-x)/(8)`

`=(5x)/(8)`

According to the problem,

`(5x)/(8)=115`

`\Rightarrow x=(115* 8)/(5)`

`\Rightarrow x=184`

The number of red marbles is
`=(x)/(4)`

`=(184)/(4)`

=46