Turkey and India took part in Youth Games. From Turkey, the ratio of the number of male supporters to the number of female supporters was 4 : 7. From India, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from Turkey was ¹¹₂₄ the total number of supporters from India.

1. What was the ratio of the number of male supporters from Turkey to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 20 male supporters from both countries left the games, the percentage of all the female supporters became 66%. How many more female supporters from India than Turkey were there at first?

Turkey		India
11 u		24 u
Male supporters	Female supporters	Male supporters	Female supporters
4	7	3x3	5x3
4 u	7 u	9 u	15 u

(a)
Number of male supporters from India
= ³₈ x 24 u
= 9 u

Number of female supporters from Turkey
= ⁵₈ x 24 u
= 15 u

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

Male supporters from Turkey : Total male supporters
4 : 13

(b)

	Male supporters	Female supporters
Before	13x3 = 39%	22x3 = 66%
Change	- 20
After	34%	66%

Number of male supporters in the end in percent
= 100% - 66%
= 34%

Total number of female supporters at first
= 7 u + 15 u
= 22 u

After 20 male supporters from both countries left the games, the percentage of all the female supporters became 66%.

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

22 u = 66%

1 u = 66% ÷ 22 = 3%

Number of male supporters at first in percent
= 13 x 3%
= 39%

Number of male supporters from both countries who left
= 39% - 34%
= 5%

5% = 20 

1% = 20 ÷ 5 = 4

Number of more female supporters from India than Turkey at first
= 15 u - 7 u
= 8 u
= 8 x 3%
= 24%
= 24 x 4
= 96 

Answer(s): (a) 4 : 13; (b) 96