Question
At a conference made up of speakers and participants, there were 50% more women than men. The ratio of the female speakers to male speakers was 8 : 1. There was an equal number of female and male participants.
  1. Find the ratio of female speakers to female participants at the conference at first. 
  2. Halfway, 5 female participants left the conference and another 20 male participants joined the conference. In the end, there were 56 as many female participants as male participants remaining behind. How many speakers were there at the conference?
5 m
(a)

Click button first when a symbol is required. X

(b)

Click button first when a symbol is required. X

At a conference made up of speakers and participants, there were 50% more women than men. The ratio of the female speakers to male speakers was 8 : 1. There was an equal number of female and male participants.
  1. Find the ratio of female speakers to female participants at the conference at first. 
  2. Halfway, 5 female participants left the conference and another 20 male participants joined the conference. In the end, there were 56 as many female participants as male participants remaining behind. How many speakers were there at the conference?