There are black, green and blue counters in a bag in the ratio 5:12:6There are 5 more blue counters than black counters.How many blue counters are there?

To solve this problem, we need to understand the ratios and the relationship between the different counters.

1. The ratio of black to blue counters is 5:6. This means for every 5 black counters, there are 6 blue counters.

2. We also know that there are 5 more blue counters than black counters.

3. Let's denote the common ratio as x. So, the number of black counters is 5x and the number of blue counters is 6x.

4. According to the problem, 6x (blue counters) is 5 more than 5x (black counters).

5. Therefore, we can set up the equation 6x = 5x + 5.

6. Solving this equation, we subtract 5x from both sides to get x = 5.

7. Substituting x = 5 back into the equation for the number of blue counters (6x), we get 6*5 = 30.

So, there are 30 blue counters.