Thailand and Sweden took part in Youth Games. From Thailand, the ratio of the number of female supporters to the number of male supporters was 4 : 19. From Sweden, the ratio of the number of female supporters to the number of male supporters was 3 : 8. The total number of supporters from Thailand was ²³₃₃ the total number of supporters from Sweden.

1. What was the ratio of the number of female supporters from Thailand to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 36 female supporters from both countries left the games, the percentage of all the male supporters became 86%. How many more male supporters from Sweden than Thailand were there at first?

Thailand		Sweden
23 u		33 u
Female supporters	Male supporters	Female supporters	Male supporters
4	19	3x3	8x3
4 u	19 u	9 u	24 u

(a)
Number of female supporters from Sweden
= ³₁₁ x 33 u
= 9 u

Number of male supporters from Thailand
= ⁸₁₁ x 33 u
= 24 u

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

Female supporters from Thailand : Total female supporters
4 : 13

(b)

	Female supporters	Male supporters
Before	13x2 = 26%	43x2 = 86%
Change	- 36
After	14%	86%

Number of female supporters in the end in percent
= 100% - 86%
= 14%

Total number of male supporters at first
= 19 u + 24 u
= 43 u

After 36 female supporters from both countries left the games, the percentage of all the male supporters became 86%.

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

43 u = 86%

1 u = 86% ÷ 43 = 2%

Number of female supporters at first in percent
= 13 x 2%
= 26%

Number of female supporters from both countries who left
= 26% - 14%
= 12%

12% = 36 

1% = 36 ÷ 12 = 3

Number of more male supporters from Sweden than Thailand at first
= 24 u - 19 u
= 5 u
= 5 x 2%
= 10%
= 10 x 3
= 30 

Answer(s): (a) 4 : 13; (b) 30