Malaysia and Pakistan took part in Youth Games. From Malaysia, the ratio of the number of male supporters to the number of female supporters was 2 : 11. From Pakistan, the ratio of the number of male supporters to the number of female supporters was 1 : 8. The total number of supporters from Malaysia was ¹³₂₇ the total number of supporters from Pakistan.

1. What was the ratio of the number of male supporters from Malaysia to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 180 male supporters from both countries joined the games, the percentage of all the female supporters became 70%. How many less female supporters from Malaysia than Pakistan were there at first?

Malaysia		Pakistan
13 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
2	11	1x3	8x3
2 u	11 u	3 u	24 u

(a)
Number of male supporters from Pakistan
= ¹₉ x 27 u
= 3 u

Number of female supporters from Malaysia
= ⁸₉ x 27 u
= 24 u

Total number of male supporters
= 2 u + 3 u
= 5 u

Male supporters from Malaysia : Total male supporters
2 : 5

(b)

	Male supporters	Female supporters
Before	5x2 = 10%	35x2 = 70%
Change	+ 180
After	30%	70%

Number of male supporters in the end in percent
= 100% - 70%
= 30%

Total number of female supporters at first
= 11 u + 24 u
= 35 u

After another 180 male supporters from both countries joined the games, the percentage of all the female supporters became 70%.

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

35 u = 70%

1 u = 70% ÷ 35 = 2%

Number of male supporters at first in percent
= 5 x 2%
= 10%

Number of male supporters from both countries who joined the games
= 30% - 10%
= 20%

20% = 180 

1% = 180 ÷ 20 = 9

Number of less female supporters from Malaysia than Pakistan at first
= 24 u - 11 u
= 13 u
= 13 x 2%
= 26%
= 26 x 9
= 234 

Answer(s): (a) 2 : 5; (b) 234