Russia and Fiji took part in Youth Games. From Russia, the ratio of the number of female supporters to the number of male supporters was 4 : 9. From Fiji, the ratio of the number of female supporters to the number of male supporters was 3 : 4. The total number of supporters from Russia was ¹³₂₁ the total number of supporters from Fiji.

1. What was the ratio of the number of female supporters from Russia to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 396 female supporters from both countries left the games, the percentage of all the male supporters became 84%. How many more male supporters from Fiji than Russia were there at first?

Russia		Fiji
13 u		21 u
Female supporters	Male supporters	Female supporters	Male supporters
4	9	3x3	4x3
4 u	9 u	9 u	12 u

(a)
Number of female supporters from Fiji
= ³₇ x 21 u
= 9 u

Number of male supporters from Russia
= ⁴₇ x 21 u
= 12 u

Total number of female supporters
= 4 u + 9 u
= 13 u

Female supporters from Russia : Total female supporters
4 : 13

(b)

	Female supporters	Male supporters
Before	13x4 = 52%	21x4 = 84%
Change	- 396
After	16%	84%

Number of female supporters in the end in percent
= 100% - 84%
= 16%

Total number of male supporters at first
= 9 u + 12 u
= 21 u

After 396 female supporters from both countries left the games, the percentage of all the male supporters became 84%.

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

21 u = 84%

1 u = 84% ÷ 21 = 4%

Number of female supporters at first in percent
= 13 x 4%
= 52%

Number of female supporters from both countries who left
= 52% - 16%
= 36%

36% = 396 

1% = 396 ÷ 36 = 11

Number of more male supporters from Fiji than Russia at first
= 12 u - 9 u
= 3 u
= 3 x 4%
= 12%
= 12 x 11
= 132 

Answer(s): (a) 4 : 13; (b) 132