Brunei and Brazil took part in Youth Games. From Brunei, the ratio of the number of male supporters to the number of female supporters was 1 : 6. From Brazil, the ratio of the number of male supporters to the number of female supporters was 1 : 5. The total number of supporters from Brunei was ⁷₂₄ the total number of supporters from Brazil.

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 another 266 male supporters from both countries joined the games, the percentage of all the female supporters became 52%. How many less female supporters from Brunei than Brazil were there at first?

Brunei		Brazil
7 u		24 u
Male supporters	Female supporters	Male supporters	Female supporters
1	6	1x2	5x2
1 u	6 u	4 u	20 u

(a)
Number of male supporters from Brazil
= ¹₆ x 24 u
= 4 u

Number of female supporters from Brunei
= ⁵₆ x 24 u
= 20 u

Total number of male supporters
= 1 u + 4 u
= 5 u

Male supporters from Brunei : Total male supporters
1 : 5

(b)

	Male supporters	Female supporters
Before	5x2 = 10%	26x2 = 52%
Change	+ 266
After	48%	52%

Number of male supporters in the end in percent
= 100% - 52%
= 48%

Total number of female supporters at first
= 6 u + 20 u
= 26 u

After another 266 male supporters from both countries joined the games, the percentage of all the female supporters became 52%.

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

26 u = 52%

1 u = 52% ÷ 26 = 2%

Number of male supporters at first in percent
= 5 x 2%
= 10%

Number of male supporters from both countries who joined the games
= 48% - 10%
= 38%

38% = 266 

1% = 266 ÷ 38 = 7

Number of less female supporters from Brunei than Brazil at first
= 20 u - 6 u
= 14 u
= 14 x 2%
= 28%
= 28 x 7
= 196 

Answer(s): (a) 1 : 5; (b) 196