I need explanation if some can help thank you

A box Is filled with green marbles, red marbles, and blue marbles. The ratio of red marbles to Green marbles is 3:1. The ratio of red marbles to all the marbles in the box is 2 :1. Write the following ratios.

A) the ratio of red marbles to the total number of marbles?

B) the ratio of blue marbles to the total number of marbles ?

C) the ratio if blue marbles to green marbles?

D) the ratio of red marbles to blue marbles?

There is no way that there are more red marbles than total marbles.

red:total = 2:1 makes no sense.

Sure! Let's break down each part of the problem one by one.

Given:
- Ratio of red marbles to green marbles is 3:1.
- Ratio of red marbles to all the marbles in the box is 2:1.

Let's assign variables to the quantities:
Let's say there are 3x red marbles and x green marbles.

A) To find the ratio of red marbles to the total number of marbles, we need to find the total number of marbles. The total number of marbles is the sum of red, green, and blue marbles.

Since the red marbles account for 2 out of every 3 marbles in the box (as given in the ratio 2:1), we can set up the equation:
2x = total number of marbles

Now, let's calculate the sum of all marbles:
Sum of marbles = red marbles + green marbles + blue marbles
Sum of marbles = 2x + x + blue marbles

Therefore, the ratio of red marbles to the total number of marbles is:
Red marbles : Total number of marbles = 2x : 3x

B) To find the ratio of blue marbles to the total number of marbles, we need to determine the number of blue marbles.

Since the ratio of red to green marbles is 3:1, we can deduce that the red marbles amount to three-quarters (3/4) of the total marbles. Consequently, the blue marbles make up one-quarter (1/4) of the total marbles.

Therefore, the ratio of blue marbles to the total number of marbles is:
Blue marbles : Total number of marbles = x : 4x

C) To find the ratio of blue marbles to green marbles, we need to compare the number of blue marbles with the number of green marbles.

Since the blue marbles constitute one-quarter (1/4) of the total marbles, and the total marbles are 4x (as previously determined), the number of blue marbles can be expressed as x.

Therefore, the ratio of blue marbles to green marbles is:
Blue marbles : Green marbles = x : x

D) To find the ratio of red marbles to blue marbles, we can divide the quantity of red marbles by the number of blue marbles.

The number of red marbles is given as 3x, and the number of blue marbles is given as x.

Therefore, the ratio of red marbles to blue marbles is:
Red marbles : Blue marbles = 3x : x

Remember, these ratios are derived based on the given information and assumptions made.