Question

There are some marbles in a box 1 6 of them are red 1 3 are blue and 3 7 of the remainder are green if there are 27 green marbles how many marbles are there together.

Answer 1

Let's assume the total number of marbles is x.
The number of red marbles is 1/6 * x.
The number of blue marbles is 1/3 * x.
The number of green marbles is 3/7 of the remainder, so it is 3/7 * (x - (1/6 * x) - (1/3 * x)).
We are given that there are 27 green marbles, so we can write the equation:
3/7 * (x - (1/6 * x) - (1/3 * x)) = 27
Simplifying the equation, we get:
3/7 * (6/6 - 1/6 - 2/6) * x = 27
3/7 * (3/6) * x = 27
9/42 * x = 27
9x = 27 * 42
9x = 1134
x = 1134/9
x = 126
Therefore, there are a total of 126 marbles.