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

Answer:

The number of red marbles is 46.

Step-by-step 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 $=\frac{1}{4}\times x$

                                               $=\frac{x}{4}$

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

                                             $=\frac{4x-x}{4}$

                                             $=\frac{3x}{4}$

$\frac16$ of the remainder marbles are blue.

The number of blue marbles are $=\frac{3x}{4}\times \frac{1}6$

                                                        $=\frac x8$

The remainder marbles are $=\frac{3x}{4}-\frac x8$

                                               $=\frac{6x-x}{8}$

                                               $=\frac{5x}{8}$

According to the problem,

$\frac{5x}{8}=115$

$\Rightarrow x=\frac{115\times 8}{5}$

$\Rightarrow x=184$

The number of red marbles is $=\frac{x}{4}$

                                                    $=\frac{184}{4}$

                                                     =46