Brunei and England took part in Youth Games. From Brunei, the ratio of the number of female supporters to the number of male supporters was 1 : 10. From England, the ratio of the number of female supporters to the number of male supporters was 1 : 2. The total number of supporters from Brunei was ¹¹₂₄ the total number of supporters from England.

1. What was the ratio of the number of female supporters from Brunei to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 30 female supporters from both countries left the games, the percentage of all the male supporters became 78%. How many more male supporters from England than Brunei were there at first?

Brunei		England
11 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
1	10	1x2	2x2
1 u	10 u	8 u	16 u

(a)
Number of female supporters from England
= ¹₃ x 24 u
= 8 u

Number of male supporters from Brunei
= ²₃ x 24 u
= 16 u

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

Female supporters from Brunei : Total female supporters
1 : 9

(b)

	Female supporters	Male supporters
Before	9x3 = 27%	26x3 = 78%
Change	- 30
After	22%	78%

Number of female supporters in the end in percent
= 100% - 78%
= 22%

Total number of male supporters at first
= 10 u + 16 u
= 26 u

After 30 female supporters from both countries left the games, the percentage of all the male supporters became 78%.

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

26 u = 78%

1 u = 78% ÷ 26 = 3%

Number of female supporters at first in percent
= 9 x 3%
= 27%

Number of female supporters from both countries who left
= 27% - 22%
= 5%

5% = 30 

1% = 30 ÷ 5 = 6

Number of more male supporters from England than Brunei at first
= 16 u - 10 u
= 6 u
= 6 x 3%
= 18%
= 18 x 6
= 108 

Answer(s): (a) 1 : 9; (b) 108