Pakistan and Fiji took part in Youth Games. From Pakistan, the ratio of the number of female supporters to the number of male supporters was 1 : 12. From Fiji, the ratio of the number of female supporters to the number of male supporters was 1 : 6. The total number of supporters from Pakistan was ¹³₂₁ the total number of supporters from Fiji.

1. What was the ratio of the number of female supporters from Pakistan to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 22 female supporters from both countries left the games, the percentage of all the male supporters became 90%. How many more male supporters from Fiji than Pakistan were there at first?

Pakistan		Fiji
13 u		21 u
Female supporters	Male supporters	Female supporters	Male supporters
1	12	1x3	6x3
1 u	12 u	3 u	18 u

(a)
Number of female supporters from Fiji
= ¹₇ x 21 u
= 3 u

Number of male supporters from Pakistan
= ⁶₇ x 21 u
= 18 u

Total number of female supporters
= 1 u + 3 u
= 4 u

Female supporters from Pakistan : Total female supporters
1 : 4

(b)

	Female supporters	Male supporters
Before	4x3 = 12%	30x3 = 90%
Change	- 22
After	10%	90%

Number of female supporters in the end in percent
= 100% - 90%
= 10%

Total number of male supporters at first
= 12 u + 18 u
= 30 u

After 22 female supporters from both countries left the games, the percentage of all the male supporters became 90%.

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

30 u = 90%

1 u = 90% ÷ 30 = 3%

Number of female supporters at first in percent
= 4 x 3%
= 12%

Number of female supporters from both countries who left
= 12% - 10%
= 2%

2% = 22 

1% = 22 ÷ 2 = 11

Number of more male supporters from Fiji than Pakistan at first
= 18 u - 12 u
= 6 u
= 6 x 3%
= 18%
= 18 x 11
= 198 

Answer(s): (a) 1 : 4; (b) 198