Russia and Chile took part in Youth Games. From Russia, the ratio of the number of male supporters to the number of female supporters was 1 : 10. From Chile, the ratio of the number of male supporters to the number of female supporters was 1 : 8. The total number of supporters from Russia was ¹¹₂₇ the total number of supporters from Chile.

1. What was the ratio of the number of male supporters from Russia to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 96 male supporters from both countries joined the games, the percentage of all the female supporters became 68%. How many less female supporters from Russia than Chile were there at first?

Russia		Chile
11 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
1	10	1x3	8x3
1 u	10 u	3 u	24 u

(a)
Number of male supporters from Chile
= ¹₉ x 27 u
= 3 u

Number of female supporters from Russia
= ⁸₉ x 27 u
= 24 u

Total number of male supporters
= 1 u + 3 u
= 4 u

Male supporters from Russia : Total male supporters
1 : 4

(b)

	Male supporters	Female supporters
Before	4x2 = 8%	34x2 = 68%
Change	+ 96
After	32%	68%

Number of male supporters in the end in percent
= 100% - 68%
= 32%

Total number of female supporters at first
= 10 u + 24 u
= 34 u

After another 96 male supporters from both countries joined the games, the percentage of all the female supporters became 68%.

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

34 u = 68%

1 u = 68% ÷ 34 = 2%

Number of male supporters at first in percent
= 4 x 2%
= 8%

Number of male supporters from both countries who joined the games
= 32% - 8%
= 24%

24% = 96 

1% = 96 ÷ 24 = 4

Number of less female supporters from Russia than Chile at first
= 24 u - 10 u
= 14 u
= 14 x 2%
= 28%
= 28 x 4
= 112 

Answer(s): (a) 1 : 4; (b) 112