Turkey and Thailand took part in Youth Games. From Turkey, the ratio of the number of female supporters to the number of male supporters was 3 : 8. From Thailand, the ratio of the number of female supporters to the number of male supporters was 1 : 5. The total number of supporters from Turkey was ¹¹₂₄ the total number of supporters from Thailand.

1. What was the ratio of the number of female supporters from Turkey to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 40 female supporters from both countries left the games, the percentage of all the male supporters became 84%. How many more male supporters from Thailand than Turkey were there at first?

Turkey		Thailand
11 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
3	8	1x2	5x2
3 u	8 u	4 u	20 u

(a)
Number of female supporters from Thailand
= ¹₆ x 24 u
= 4 u

Number of male supporters from Turkey
= ⁵₆ x 24 u
= 20 u

Total number of female supporters
= 3 u + 4 u
= 7 u

Female supporters from Turkey : Total female supporters
3 : 7

(b)

	Female supporters	Male supporters
Before	7x3 = 21%	28x3 = 84%
Change	- 40
After	16%	84%

Number of female supporters in the end in percent
= 100% - 84%
= 16%

Total number of male supporters at first
= 8 u + 20 u
= 28 u

After 40 female supporters from both countries left the games, the percentage of all the male supporters became 84%.

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

28 u = 84%

1 u = 84% ÷ 28 = 3%

Number of female supporters at first in percent
= 7 x 3%
= 21%

Number of female supporters from both countries who left
= 21% - 16%
= 5%

5% = 40 

1% = 40 ÷ 5 = 8

Number of more male supporters from Thailand than Turkey at first
= 20 u - 8 u
= 12 u
= 12 x 3%
= 36%
= 36 x 8
= 288 

Answer(s): (a) 3 : 7; (b) 288