Kenya and France took part in Youth Games. From Kenya, the ratio of the number of female supporters to the number of male supporters was 1 : 10. From France, the ratio of the number of female supporters to the number of male supporters was 1 : 5. The total number of supporters from Kenya was ¹¹₂₄ the total number of supporters from France.

1. What was the ratio of the number of female supporters from Kenya to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 60 female supporters from both countries left the games, the percentage of all the male supporters became 90%. How many more male supporters from France than Kenya were there at first?

Kenya		France
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 France
= ¹₆ x 24 u
= 4 u

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

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

Female supporters from Kenya : Total female supporters
1 : 5

(b)

	Female supporters	Male supporters
Before	5x3 = 15%	30x3 = 90%
Change	- 60
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 60 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% = 60 

1% = 60 ÷ 5 = 12

Number of more male supporters from France than Kenya at first
= 20 u - 10 u
= 10 u
= 10 x 3%
= 30%
= 30 x 12
= 360 

Answer(s): (a) 1 : 5; (b) 360