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

1. What was the ratio of the number of male supporters from Thailand to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 120 male supporters from both countries left the games, the percentage of all the female supporters became 86%. How many more female supporters from France than Thailand were there at first?

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

(a)
Number of male supporters from France
= ³₁₁ x 33 u
= 9 u

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

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

Male supporters from Thailand : Total male supporters
4 : 13

(b)

	Male supporters	Female supporters
Before	13x2 = 26%	43x2 = 86%
Change	- 120
After	14%	86%

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

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

After 120 male supporters from both countries left the games, the percentage of all the female supporters became 86%.

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

43 u = 86%

1 u = 86% ÷ 43 = 2%

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

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

12% = 120 

1% = 120 ÷ 12 = 10

Number of more female supporters from France than Thailand at first
= 24 u - 19 u
= 5 u
= 5 x 2%
= 10%
= 10 x 10
= 100 

Answer(s): (a) 4 : 13; (b) 100