Egypt and Turkey took part in Youth Games. From Egypt, the ratio of the number of male supporters to the number of female supporters was 1 : 10. From Turkey, the ratio of the number of male supporters to the number of female supporters was 1 : 3. The total number of supporters from Egypt was ¹¹₂₄ the total number of supporters from Turkey.

1. What was the ratio of the number of male supporters from Egypt to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 25 male supporters from both countries left the games, the percentage of all the female supporters became 84%. How many more female supporters from Turkey than Egypt were there at first?

Egypt		Turkey
11 u		24 u
Male supporters	Female supporters	Male supporters	Female supporters
1	10	1x2	3x2
1 u	10 u	6 u	18 u

(a)
Number of male supporters from Turkey
= ¹₄ x 24 u
= 6 u

Number of female supporters from Egypt
= ³₄ x 24 u
= 18 u

Total number of male supporters
= 1 u + 6 u
= 7 u

Male supporters from Egypt : Total male supporters
1 : 7

(b)

	Male supporters	Female supporters
Before	7x3 = 21%	28x3 = 84%
Change	- 25
After	16%	84%

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

Total number of female supporters at first
= 10 u + 18 u
= 28 u

After 25 male supporters from both countries left the games, the percentage of all the female supporters became 84%.

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

28 u = 84%

1 u = 84% ÷ 28 = 3%

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

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

5% = 25 

1% = 25 ÷ 5 = 5

Number of more female supporters from Turkey than Egypt at first
= 18 u - 10 u
= 8 u
= 8 x 3%
= 24%
= 24 x 5
= 120 

Answer(s): (a) 1 : 7; (b) 120