Final answer:
By subtracting the number of red and blue counters from the total and using the given ratio of yellow to green counters, we determined there are 25 green counters in the bag. This represents 12.5% of the total number of counters in the bag.
Step-by-step explanation:
To find out what percentage of the counters in the bag are green, we first need to determine the total number of yellow and green counters. Since there are 200 counters in total, and we know that 52 are red and 73 are blue, we can subtract the red and blue counters from the total to find the combined number of yellow and green counters:
200 total counters - 52 red counters - 73 blue counters = 75 yellow and green counters.
Next, we're told there are twice as many yellow counters as green counters. If we let g represent the number of green counters, then 2g represents the number of yellow counters. The equation to express the relationship between yellow and green counters would be:
g + 2g = 75
Solving for g gives us:
3g = 75
g = 25
Therefore, there are 25 green counters. To find the percentage of green counters, we use the formula:
Percentage of green counters = (Number of green counters / Total number of counters) × 100
Percentage of green counters = (25 / 200) × 100% = 12.5%
So, 12.5% of the counters in the bag are green.