The ratio of red beads to blue beads is 3:5. Given that there are 12 red beads, work out how many blue beads there are.
3:5 = 12:20
To work out the number of blue beads, we need to use the given ratio of 3:5 and the number of red beads (12) as a reference.
First, we calculate the ratio factor:
Ratio factor = Total parts of ratio / Number of parts from the ratio we know
Ratio factor = 3 + 5 / 3 = 8 / 3
Next, we multiply the ratio factor by the number of red beads (12) to find the number of blue beads:
Blue beads = Ratio factor * Number of red beads
Blue beads = 8 / 3 * 12
Multiplying the ratio factor by 12, we get:
Blue beads = 96 / 3
Blue beads = 32
Therefore, there are 32 blue beads.
To solve this problem, we need to use the concept of ratio.
First, let's determine the ratio of red beads to blue beads. We are given that the ratio of red beads to blue beads is 3:5.
Next, we need to find the number of blue beads when we know that there are 12 red beads.
To find the number of blue beads, we can set up a proportion.
The given ratio is 3:5, which means that for every 3 red beads, there are 5 blue beads.
If we have 12 red beads, we can find the number of blue beads using the following proportion:
3/5 = 12/x
Here, 'x' represents the number of blue beads that we are trying to find.
To solve for 'x', we can cross-multiply:
3 * x = 5 * 12
3x = 60
Dividing both sides of the equation by 3:
x = 20
Therefore, there are 20 blue beads when there are 12 red beads.