Malaysia and Kenya took part in Youth Games. From Malaysia, the ratio of the number of female supporters to the number of male supporters was 1 : 6. From Kenya, the ratio of the number of female supporters to the number of male supporters was 4 : 5. The total number of supporters from Malaysia was ⁷₁₈ the total number of supporters from Kenya.

1. What was the ratio of the number of female supporters from Malaysia to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 200 female supporters from both countries joined the games, the percentage of all the male supporters became 32%. How many less male supporters from Malaysia than Kenya were there at first?

Malaysia		Kenya
7 u		18 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	4x2	5x2
1 u	6 u	8 u	10 u

(a)
Number of female supporters from Kenya
= ⁴₉ x 18 u
= 8 u

Number of male supporters from Malaysia
= ⁵₉ x 18 u
= 10 u

Total number of female supporters
= 1 u + 8 u
= 9 u

Female supporters from Malaysia : Total female supporters
1 : 9

(b)

	Female supporters	Male supporters
Before	9x2 = 18%	16x2 = 32%
Change	+ 200
After	68%	32%

Number of female supporters in the end in percent
= 100% - 32%
= 68%

Total number of male supporters at first
= 6 u + 10 u
= 16 u

After another 200 female supporters from both countries joined the games, the percentage of all the male supporters became 32%.

Since only more female supporters joined the games, the number of male supporters remains unchanged. Make the number of male supporters the same.

16 u = 32%

1 u = 32% ÷ 16 = 2%

Number of female supporters at first in percent
= 9 x 2%
= 18%

Number of female supporters from both countries who joined the games
= 68% - 18%
= 50%

50% = 200 

1% = 200 ÷ 50 = 4

Number of less male supporters from Malaysia than Kenya at first
= 10 u - 6 u
= 4 u
= 4 x 2%
= 8%
= 8 x 4
= 32 

Answer(s): (a) 1 : 9; (b) 32