Maldives and Zambia took part in Youth Games. From Maldives, the ratio of the number of female supporters to the number of male supporters was 4 : 9. From Zambia, the ratio of the number of female supporters to the number of male supporters was 1 : 2. The total number of supporters from Maldives was ¹³₂₇ the total number of supporters from Zambia.

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 180 female supporters from both countries left the games, the percentage of all the male supporters became 81%. How many more male supporters from Zambia than Maldives were there at first?

Maldives		Zambia
13 u		27 u
Female supporters	Male supporters	Female supporters	Male supporters
4	9	1x3	2x3
4 u	9 u	9 u	18 u

(a)
Number of female supporters from Zambia
= ¹₃ x 27 u
= 9 u

Number of male supporters from Maldives
= ²₃ x 27 u
= 18 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	13x3 = 39%	27x3 = 81%
Change	- 180
After	19%	81%

Number of female supporters in the end in percent
= 100% - 81%
= 19%

Total number of male supporters at first
= 9 u + 18 u
= 27 u

After 180 female supporters from both countries left the games, the percentage of all the male supporters became 81%.

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

27 u = 81%

1 u = 81% ÷ 27 = 3%

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

Number of female supporters from both countries who left
= 39% - 19%
= 20%

20% = 180 

1% = 180 ÷ 20 = 9

Number of more male supporters from Zambia than Maldives at first
= 18 u - 9 u
= 9 u
= 9 x 3%
= 27%
= 27 x 9
= 243 

Answer(s): (a) 4 : 13; (b) 243