Ratio P6 2010 SA2 Catholic High P2 Q??

At a conference made up of speakers and participants, there were 20% more men than women. The ratio of male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
a) Find the ratio of male speakers to male participants at the conference.
b) Halfway, 40 male participants left the conference and another 60 female participants joined the conference. In the end, there were 3/4 as many male participants as female participants remaining behind. How many speakers were there at the conference ?


M : F = 120 : 100
          = 6 : 5        Multiply by 3 to get difference of 3
         = 18 : 15     (equal to difference in speaker)

MS : FS = 8 : 5      Difference of 3 (8 - 5)

MP : FP = 1 : 1     Multiply by 10 so that totals tally
             = 10 : 10

MS : MP = 8 : 10
               = 4 : 5

a) It was 4 : 5.


 MP        FP
---------------
  10   :    10
- 40     + 60
---------------
   3    :     4
---------------

4 x (10 u - 40) --> 3 x (10 u + 60)
40 u - 160 --> 30 u + 180
10 u --> 180 + 160 = 340
1 u --> 340/10 = 34

13 u --> 13 x 34 = 442 speakers

a) There were 442 speakers.