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

1. What was the ratio of the number of female supporters from Maldives to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 200 female supporters from both countries left the games, the percentage of all the male supporters became 88%. How many more male supporters from Iraq than Maldives were there at first?

Maldives		Iraq
11 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
4	7	3x3	5x3
4 u	7 u	9 u	15 u

(a)
Number of female supporters from Iraq
= ³₈ x 24 u
= 9 u

Number of male supporters from Maldives
= ⁵₈ x 24 u
= 15 u

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

Female supporters from Maldives : Total female supporters
4 : 13

(b)

	Female supporters	Male supporters
Before	13x4 = 52%	22x4 = 88%
Change	- 200
After	12%	88%

Number of female supporters in the end in percent
= 100% - 88%
= 12%

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

After 200 female supporters from both countries left the games, the percentage of all the male supporters became 88%.

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

22 u = 88%

1 u = 88% ÷ 22 = 4%

Number of female supporters at first in percent
= 13 x 4%
= 52%

Number of female supporters from both countries who left
= 52% - 12%
= 40%

40% = 200 

1% = 200 ÷ 40 = 5

Number of more male supporters from Iraq than Maldives at first
= 15 u - 7 u
= 8 u
= 8 x 4%
= 32%
= 32 x 5
= 160 

Answer(s): (a) 4 : 13; (b) 160