Finland and Russia took part in Youth Games. From Finland, the ratio of the number of female supporters to the number of male supporters was 3 : 8. From Russia, the ratio of the number of female supporters to the number of male supporters was 1 : 2. The total number of supporters from Finland was ¹¹₂₄ the total number of supporters from Russia.

1. What was the ratio of the number of female supporters from Finland to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 40 female supporters from both countries left the games, the percentage of all the male supporters became 72%. How many more male supporters from Russia than Finland were there at first?

Finland		Russia
11 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
3	8	1x2	2x2
3 u	8 u	8 u	16 u

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

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

Total number of female supporters
= 3 u + 8 u
= 11 u

Female supporters from Finland : Total female supporters
3 : 11

(b)

	Female supporters	Male supporters
Before	11x3 = 33%	24x3 = 72%
Change	- 40
After	28%	72%

Number of female supporters in the end in percent
= 100% - 72%
= 28%

Total number of male supporters at first
= 8 u + 16 u
= 24 u

After 40 female supporters from both countries left the games, the percentage of all the male supporters became 72%.

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

24 u = 72%

1 u = 72% ÷ 24 = 3%

Number of female supporters at first in percent
= 11 x 3%
= 33%

Number of female supporters from both countries who left
= 33% - 28%
= 5%

5% = 40 

1% = 40 ÷ 5 = 8

Number of more male supporters from Russia than Finland at first
= 16 u - 8 u
= 8 u
= 8 x 3%
= 24%
= 24 x 8
= 192 

Answer(s): (a) 3 : 11; (b) 192