a bag contains green, yellow and orange marbles. the ratio of green marbles to yellow marbles is 2:5, the ratio of the yellow marbles to orange is 3:4. what is the ratio of the green marbles to the orange marbles?
green : yellow = 2:5
yellow : orange = 3:4
green : orange = 3:10
if 30 green
then 75 yellow
and 100 orange
30:100 = 3:10
not a tutor
Or
green : yellow = 2:5
yellow : orange = 3:4
green : orange = 3:10
if 2 green
then 5 yellow
and 20/3 orange
2 : 20/3 = 3:10
I am not a tutor
The ratio of yellow marbles to green marbles is
3 yellow marbles to 2 green marbles.
If there are 6 yellow marbles,
how many green marbles are there
To find the ratio of green marbles to orange marbles, we need to analyze the information given step by step.
Let's start by assigning variables to the number of green, yellow, and orange marbles in the bag. Let's assume that the number of green marbles is 2x, the number of yellow marbles is 5x, and the number of orange marbles is 4y.
Now, we are given two ratios:
1. The ratio of green marbles to yellow marbles is 2:5. This means that the number of green marbles (2x) is 2/5 times the number of yellow marbles (5x). So, we have the equation:
2x = (2/5) * 5x
2x = 2x
2. The ratio of yellow marbles to orange marbles is 3:4. This means that the number of yellow marbles (5x) is 3/4 times the number of orange marbles (4y). So, we have the equation:
5x = (3/4) * 4y
5x = 3y
Now, we have two equations:
2x = 2x (equation 1)
5x = 3y (equation 2)
From equation 1, we can see that 2x is equal to 2x, which means no additional information is provided regarding the ratio of green marbles to orange marbles.
Thus, the ratio of green marbles to orange marbles can be expressed as 2:1, or simply 2.