Question 6
A teacher numbers the boys 1,2,3,… and separately numbers the girls 1,2,3,… . They stand equally spaced around a circle in this order: boy 1, girl 1, boy 2, girl 2, and so on. There are more boys, so the remaining boys stand consecutively at the end. Exactly 5 boys stand consecutively, and boy 3 is opposite girl 10. Opposite students have equally many students between them in either direction. How many girls are there?
