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 1 : 4. From Sweden, the ratio of the number of female supporters to the number of male supporters was 1 : 5. The total number of supporters from Thailand was ⁵₁₈ 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 another 40 female supporters from both countries joined the games, the percentage of all the male supporters became 76%. How many less male supporters from Thailand than Sweden were there at first?

Thailand		Sweden
5 u		18 u
Female supporters	Male supporters	Female supporters	Male supporters
1	4	1x3	5x3
1 u	4 u	3 u	15 u

(a)
Number of female supporters from Sweden
= ¹₆ x 18 u
= 3 u

Number of male supporters from Thailand
= ⁵₆ x 18 u
= 15 u

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

Female supporters from Thailand : Total female supporters
1 : 4

(b)

	Female supporters	Male supporters
Before	4x4 = 16%	19x4 = 76%
Change	+ 40
After	24%	76%

Number of female supporters in the end in percent
= 100% - 76%
= 24%

Total number of male supporters at first
= 4 u + 15 u
= 19 u

After another 40 female supporters from both countries joined the games, the percentage of all the male supporters became 76%.

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

19 u = 76%

1 u = 76% ÷ 19 = 4%

Number of female supporters at first in percent
= 4 x 4%
= 16%

Number of female supporters from both countries who joined the games
= 24% - 16%
= 8%

8% = 40 

1% = 40 ÷ 8 = 5

Number of less male supporters from Thailand than Sweden at first
= 15 u - 4 u
= 11 u
= 11 x 4%
= 44%
= 44 x 5
= 220 

Answer(s): (a) 1 : 4; (b) 220