Oman and Thailand took part in Youth Games. From Oman, the ratio of the number of female supporters to the number of male supporters was 1 : 10. 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 Oman was ¹¹₂₄ the total number of supporters from Thailand.

1. What was the ratio of the number of female supporters from Oman to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 10 female supporters from both countries left the games, the percentage of all the male supporters became 90%. How many more male supporters from Thailand than Oman were there at first?

Oman		Thailand
11 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
1	10	1x2	5x2
1 u	10 u	4 u	20 u

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

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

Total number of female supporters
= 1 u + 4 u
= 5 u

Female supporters from Oman : Total female supporters
1 : 5

(b)

	Female supporters	Male supporters
Before	5x3 = 15%	30x3 = 90%
Change	- 10
After	10%	90%

Number of female supporters in the end in percent
= 100% - 90%
= 10%

Total number of male supporters at first
= 10 u + 20 u
= 30 u

After 10 female supporters from both countries left the games, the percentage of all the male supporters became 90%.

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

30 u = 90%

1 u = 90% ÷ 30 = 3%

Number of female supporters at first in percent
= 5 x 3%
= 15%

Number of female supporters from both countries who left
= 15% - 10%
= 5%

5% = 10 

1% = 10 ÷ 5 = 2

Number of more male supporters from Thailand than Oman at first
= 20 u - 10 u
= 10 u
= 10 x 3%
= 30%
= 30 x 2
= 60 

Answer(s): (a) 1 : 5; (b) 60