Brunei and Malta took part in Youth Games. From Brunei, the ratio of the number of male supporters to the number of female supporters was 1 : 4. From Malta, the ratio of the number of male supporters to the number of female supporters was 1 : 2. The total number of supporters from Brunei was ⁵₂₇ the total number of supporters from Malta.

1. What was the ratio of the number of male supporters from Brunei to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 336 male supporters from both countries left the games, the percentage of all the female supporters became 88%. How many more female supporters from Malta than Brunei were there at first?

Brunei		Malta
5 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
1	4	1x3	2x3
1 u	4 u	9 u	18 u

(a)
Number of male supporters from Malta
= ¹₃ x 27 u
= 9 u

Number of female supporters from Brunei
= ²₃ x 27 u
= 18 u

Total number of male supporters
= 1 u + 9 u
= 10 u

Male supporters from Brunei : Total male supporters
1 : 10

(b)

	Male supporters	Female supporters
Before	10x4 = 40%	22x4 = 88%
Change	- 336
After	12%	88%

Number of male supporters in the end in percent
= 100% - 88%
= 12%

Total number of female supporters at first
= 4 u + 18 u
= 22 u

After 336 male supporters from both countries left the games, the percentage of all the female supporters became 88%.

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

22 u = 88%

1 u = 88% ÷ 22 = 4%

Number of male supporters at first in percent
= 10 x 4%
= 40%

Number of male supporters from both countries who left
= 40% - 12%
= 28%

28% = 336 

1% = 336 ÷ 28 = 12

Number of more female supporters from Malta than Brunei at first
= 18 u - 4 u
= 14 u
= 14 x 4%
= 56%
= 56 x 12
= 672 

Answer(s): (a) 1 : 10; (b) 672