A school has 850 learners . The ratio of girls to boy is 6 : 4 . How many learners are girls?

Let the number of girls be represented by 6x and the number of boys be represented by 4x.

According to the given ratio, the total number of learners can be represented as:

6x + 4x = 850
10x = 850
x = 85

Therefore, the number of girls is:
6x = 6 * 85 = 510

So, there are 510 girls in the school.