There are only green counters, red counters and blue counters in a bag.The ratio of green counters to red counters is 2:15The ratio of red counters to blue counters is 3:1Find the ratio of green counters : red counters : blue countersGive your ratio in its simplest form with integer parts.
Question
There are only green counters, red counters and blue counters in a bag.The ratio of green counters to red counters is 2:15The ratio of red counters to blue counters is 3:1Find the ratio of green counters : red counters : blue countersGive your ratio in its simplest form with integer parts.
Solution
First, let's look at the ratio of green counters to red counters, which is 2:15. This means for every 2 green counters, there are 15 red counters.
Next, let's look at the ratio of red counters to blue counters, which is 3:1. This means for every 3 red counters, there is 1 blue counter.
To find the ratio of green counters to red counters to blue counters, we need to make the red part of both ratios the same.
The easiest way to do this is to multiply the two ratios together.
So, we multiply the first ratio by 3 (the red part of the second ratio) and the second ratio by 15 (the red part of the first ratio).
This gives us:
Green : Red = 23 : 153 = 6 : 45 Red : Blue = 315 : 115 = 45 : 15
Now, the red part of both ratios is the same (45), we can combine the ratios to get:
Green : Red : Blue = 6 : 45 : 15
Finally, we simplify the ratio by dividing each part by the greatest common divisor (3):
Green : Red : Blue = 2 : 15 : 5
So, the ratio of green counters to red counters to blue counters in its simplest form with integer parts is 2:15:5.
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