Answer:
There are 77 green counters in the bag.
Explanation:
Let's assume the number of green counters is represented by the variable "x".
According to the given ratio, the number of purple counters would be (3/7) * x, and the number of red counters would be (8/7) * x.
It is stated that there are 11 more red counters than green counters, so we can set up the equation:
(8/7) * x = x + 11
To solve this equation, we can multiply both sides by 7 to get rid of the denominator:
8x = 7x + 77
Next, we can subtract 7x from both sides:
x = 77
Therefore, there are 77 green counters in the bag.