The ratio of green to black counters in the bag is 2/7.
In a bag containing green and black counters, the ratio of green to black counters is 2/7. Let's denote the number of green counters as G and the number of black counters as B. The mathematical expression for this ratio is G/B = 2/7.
The total number of counters in the bag is the sum of green and black counters, represented as G + B.
The equation G/B = 2/7 can be rearranged to 7G = 2B, indicating that the number of green counters (G) is twice the number of black counters (B).
Expressing G in terms of B using the given ratio (G = 2/7 * B), we substitute this back into the equation for the total count, resulting in 7(2/7 * B) = 2B. Simplifying, we get 2B = 2B, confirming the given ratio of 2/7.