Chile and China took part in Youth Games. From Chile, the ratio of the number of female supporters to the number of male supporters was 1 : 6. From China, the ratio of the number of female supporters to the number of male supporters was 2 : 9. The total number of supporters from Chile was ⁷₂₂ the total number of supporters from China.

1. What was the ratio of the number of female supporters from Chile to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 39 female supporters from both countries joined the games, the percentage of all the male supporters became 72%. How many less male supporters from Chile than China were there at first?

Chile		China
7 u		22 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	2x2	9x2
1 u	6 u	4 u	18 u

(a)
Number of female supporters from China
= ²₁₁ x 22 u
= 4 u

Number of male supporters from Chile
= ⁹₁₁ x 22 u
= 18 u

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

Female supporters from Chile : Total female supporters
1 : 5

(b)

	Female supporters	Male supporters
Before	5x3 = 15%	24x3 = 72%
Change	+ 39
After	28%	72%

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

Total number of male supporters at first
= 6 u + 18 u
= 24 u

After another 39 female supporters from both countries joined the games, the percentage of all the male supporters became 72%.

Since only more female supporters joined 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
= 5 x 3%
= 15%

Number of female supporters from both countries who joined the games
= 28% - 15%
= 13%

13% = 39 

1% = 39 ÷ 13 = 3

Number of less male supporters from Chile than China at first
= 18 u - 6 u
= 12 u
= 12 x 3%
= 36%
= 36 x 3
= 108 

Answer(s): (a) 1 : 5; (b) 108