Oman and Haiti took part in Youth Games. From Oman, the ratio of the number of male supporters to the number of female supporters was 2 : 11. From Haiti, the ratio of the number of male supporters to the number of female supporters was 1 : 2. The total number of supporters from Oman was ¹³₂₇ the total number of supporters from Haiti.

1. What was the ratio of the number of male supporters from Oman to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 240 male supporters from both countries left the games, the percentage of all the female supporters became 87%. How many more female supporters from Haiti than Oman were there at first?

Oman		Haiti
13 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
2	11	1x3	2x3
2 u	11 u	9 u	18 u

(a)
Number of male supporters from Haiti
= ¹₃ x 27 u
= 9 u

Number of female supporters from Oman
= ²₃ x 27 u
= 18 u

Total number of male supporters
= 2 u + 9 u
= 11 u

Male supporters from Oman : Total male supporters
2 : 11

(b)

	Male supporters	Female supporters
Before	11x3 = 33%	29x3 = 87%
Change	- 240
After	13%	87%

Number of male supporters in the end in percent
= 100% - 87%
= 13%

Total number of female supporters at first
= 11 u + 18 u
= 29 u

After 240 male supporters from both countries left the games, the percentage of all the female supporters became 87%.

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

29 u = 87%

1 u = 87% ÷ 29 = 3%

Number of male supporters at first in percent
= 11 x 3%
= 33%

Number of male supporters from both countries who left
= 33% - 13%
= 20%

20% = 240 

1% = 240 ÷ 20 = 12

Number of more female supporters from Haiti than Oman at first
= 18 u - 11 u
= 7 u
= 7 x 3%
= 21%
= 21 x 12
= 252 

Answer(s): (a) 2 : 11; (b) 252