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

1. What was the ratio of the number of female supporters from Italy to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 220 female supporters from both countries left the games, the percentage of all the male supporters became 81%. How many more male supporters from Malaysia than Italy were there at first?

Italy		Malaysia
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 Malaysia
= ¹₃ x 27 u
= 9 u

Number of male supporters from Italy
= ²₃ x 27 u
= 18 u

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

Female supporters from Italy : Total female supporters
4 : 13

(b)

	Female supporters	Male supporters
Before	13x3 = 39%	27x3 = 81%
Change	- 220
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 220 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% = 220 

1% = 220 ÷ 20 = 11

Number of more male supporters from Malaysia than Italy at first
= 18 u - 9 u
= 9 u
= 9 x 3%
= 27%
= 27 x 11
= 297 

Answer(s): (a) 4 : 13; (b) 297