Chile and Mexico took part in Youth Games. From Chile, the ratio of the number of female supporters to the number of male supporters was 2 : 9. From Mexico, the ratio of the number of female supporters to the number of male supporters was 3 : 5. The total number of supporters from Chile was ¹¹₂₄ the total number of supporters from Mexico.

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 60 female supporters from both countries left the games, the percentage of all the male supporters became 72%. How many more male supporters from Mexico than Chile were there at first?

Chile		Mexico
11 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
2	9	3x3	5x3
2 u	9 u	9 u	15 u

(a)
Number of female supporters from Mexico
= ³₈ x 24 u
= 9 u

Number of male supporters from Chile
= ⁵₈ x 24 u
= 15 u

Total number of female supporters
= 2 u + 9 u
= 11 u

Female supporters from Chile : Total female supporters
2 : 11

(b)

	Female supporters	Male supporters
Before	11x3 = 33%	24x3 = 72%
Change	- 60
After	28%	72%

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

Total number of male supporters at first
= 9 u + 15 u
= 24 u

After 60 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% = 60 

1% = 60 ÷ 5 = 12

Number of more male supporters from Mexico than Chile at first
= 15 u - 9 u
= 6 u
= 6 x 3%
= 18%
= 18 x 12
= 216 

Answer(s): (a) 2 : 11; (b) 216