Instructions: Study the following information carefully and answer accordingly.

In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.

The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.