Ireland and Malaysia took part in Youth Games. From Ireland, the ratio of the number of male supporters to the number of female supporters was 1 : 12. From Malaysia, the ratio of the number of male supporters to the number of female supporters was 2 : 5. The total number of supporters from Ireland was ¹³₂₁ the total number of supporters from Malaysia.

1. What was the ratio of the number of male supporters from Ireland to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 128 male supporters from both countries joined the games, the percentage of all the female supporters became 54%. How many less female supporters from Ireland than Malaysia were there at first?

Ireland		Malaysia
13 u		21 u
Male supporters	Female supporters	Male supporters	Female supporters
1	12	2x3	5x3
1 u	12 u	6 u	15 u

(a)
Number of male supporters from Malaysia
= ²₇ x 21 u
= 6 u

Number of female supporters from Ireland
= ⁵₇ x 21 u
= 15 u

Total number of male supporters
= 1 u + 6 u
= 7 u

Male supporters from Ireland : Total male supporters
1 : 7

(b)

	Male supporters	Female supporters
Before	7x2 = 14%	27x2 = 54%
Change	+ 128
After	46%	54%

Number of male supporters in the end in percent
= 100% - 54%
= 46%

Total number of female supporters at first
= 12 u + 15 u
= 27 u

After another 128 male supporters from both countries joined the games, the percentage of all the female supporters became 54%.

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

27 u = 54%

1 u = 54% ÷ 27 = 2%

Number of male supporters at first in percent
= 7 x 2%
= 14%

Number of male supporters from both countries who joined the games
= 46% - 14%
= 32%

32% = 128 

1% = 128 ÷ 32 = 4

Number of less female supporters from Ireland than Malaysia at first
= 15 u - 12 u
= 3 u
= 3 x 2%
= 6%
= 6 x 4
= 24 

Answer(s): (a) 1 : 7; (b) 24