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 :11. 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?
red: total = 2:11
so out of 13 marbles, 2 are red
ratio of red to green: 2:3 for every five marbles, 2 are red, 3 are green.
So, we need something to become common between 5 and 13: 65
so out of every sixty five marbles, red is
red/total=2/13 or red= 65*2/13=130/13=10 red
then green must be green/red=3/2 or green=3*10/2=15
and blue must be 65-10-15=40
check my thinking.
To answer the given questions, let's start with the information given:
1) The ratio of red marbles to green marbles is 3:1.
2) The ratio of red marbles to all the marbles in the box is 2:11.
We can solve this step-by-step:
A) To find the ratio of red marbles to the total number of marbles, we need to know the total number of marbles in the box. Let's assume the total number of marbles is represented by the variable 'x.'
According to the given information, the ratio of red marbles to all the marbles in the box is 2:11. This means the number of red marbles can be represented as (2/11)x.
Therefore, the ratio of red marbles to the total number of marbles is (2/11):1 or 2:11.
B) To find the ratio of blue marbles to the total number of marbles, we need to know the number of blue marbles in the box.
Unfortunately, the number of blue marbles is not provided in the given information. Without this information, we cannot determine the ratio of blue marbles to the total number of marbles.
C) To find the ratio of blue marbles to green marbles, we also need to know the number of blue and green marbles.
Unfortunately, the number of blue and green marbles is not provided, so we cannot determine the ratio of blue marbles to green marbles.
D) To find the ratio of red marbles to blue marbles, we need to know the number of red and blue marbles.
Unfortunately, the number of blue marbles is not provided, so we cannot determine the ratio of red marbles to blue marbles.
In summary:
A) The ratio of red marbles to the total number of marbles is 2:11.
B) The ratio of blue marbles to the total number of marbles cannot be determined.
C) The ratio of blue marbles to green marbles cannot be determined.
D) The ratio of red marbles to blue marbles cannot be determined.
To solve this problem, we need to use the given information about the ratios of different types of marbles. Let's break this down step by step:
Given information:
- Ratio of red marbles to green marbles = 3:1
- Ratio of red marbles to all marbles in the box = 2:11
A) The ratio of red marbles to the total number of marbles:
To find this ratio, we need to determine the proportion of red marbles in the total number of marbles. Since the ratio of red marbles to all marbles in the box is 2:11, we can set up the equation:
2/11 = x/total number of marbles
Now, to find the ratio, we can express x as the number of red marbles, so our equation becomes:
2/11 = number of red marbles/total number of marbles
This gives us the ratio of red marbles to the total number of marbles.
B) The ratio of blue marbles to the total number of marbles:
Unfortunately, we don't have the direct ratio of blue marbles to the total number of marbles. However, we can use the given information to find it indirectly. Since we know the ratios of red marbles to green marbles and red marbles to all marbles, we can derive the ratio of green marbles to the total number of marbles as follows:
- Ratio of red marbles to green marbles = 3:1
- Ratio of red marbles to all marbles = 2:11
By comparing those ratios, we can see that the ratio of green marbles to all marbles is 1:11. Since the total number of marbles in the box is the sum of the numbers of red, green, and blue marbles, we can express the number of blue marbles as:
Number of blue marbles = total number of marbles - (number of red marbles + number of green marbles)
Now we can find the ratio of blue marbles to the total number of marbles:
Ratio of blue marbles to the total number of marbles = number of blue marbles/total number of marbles
C) The ratio of blue marbles to green marbles:
To find this ratio, we need to determine the proportion of blue marbles to green marbles. Unfortunately, the given information doesn't provide the direct ratio of blue marbles to green marbles. However, we can use the result from part B:
- Ratio of green marbles to the total number of marbles = 1:11
Since the ratio of blue marbles to the total number of marbles is not provided, we cannot directly calculate the ratio of blue to green marbles either.
D) The ratio of red marbles to blue marbles:
Similarly, the given information does not provide the direct ratio of red marbles to blue marbles. Without any additional information, we cannot determine this ratio.
In summary, based on the given information, we can answer parts A and B, but we do not have enough information to answer parts C and D.
Oops. Red:green = 3:1, not 3:2
r:g = 3:1, so g:r = 1:3 = 2:6
r:t = 2:11 = 6:33
g:r:t = 2:6:33
now just read off the ratios.
r:t = 6:33 = 2/11
b:t = 1 - (g:t - r:t) = 25/33
b:g = 25/2
r:b = 6/25