Monday, March 29, 2010

Ratio P6 2009 SA2 P2 MGS Q16

16. Country A and Country B took part in a Youth Game. From Country A, the ratio of the number of male supporters to the number of female supporters is 5 : 6. From Country B, the ratio of the number of male supporters to the number of female supporters was 1 : 3. The total number of supporters from Country A is ¼ of the total number of supporters from Country B.
a) What is the ratio of the number of female supporters from Country A to the number of female supporters from country B? Express your answer in the simplest form.
b) After 4985 male supporters from both countries left, the percentage of the female supporters became 78%. How many more male supporters from Country B than Country A were there at first?


     A                     B
-------------------------------
     1          :          4  =  11 : 44

 M      F             M      F
5   :   6            1  :   3  =  11 :  33

6 : 33 = 2 : 11


a) The ratio of the number of female supporters from Country A to the number of female supporters from Country B is 2 : 11.


6 + 33 = 39

78 ÷ 39 = 2

5 : 6 : 11 :  33 = 10 : 12 : 22 : 66

10 + 12 + 22 + 66 – 100 = 10

10% -- > 4985

12% -- > 12/10 x 4985 = 5982


b) There were 5982 more male supporters in Country B than in Country A at first.

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