Peru and Pakistan took part in Youth Games. From Peru, the ratio of the number of female supporters to the number of male supporters was 1 : 10. From Pakistan, the ratio of the number of female supporters to the number of male supporters was 1 : 3. The total number of supporters from Peru was ¹¹₁₆ the total number of supporters from Pakistan.

1. What was the ratio of the number of female supporters from Peru to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 230 female supporters from both countries joined the games, the percentage of all the male supporters became 44%. How many less male supporters from Peru than Pakistan were there at first?

Peru		Pakistan
11 u		16 u
Female supporters	Male supporters	Female supporters	Male supporters
1	10	1x2	3x2
1 u	10 u	4 u	12 u

(a)
Number of female supporters from Pakistan
= ¹₄ x 16 u
= 4 u

Number of male supporters from Peru
= ³₄ x 16 u
= 12 u

Total number of female supporters
= 1 u + 4 u
= 5 u

Female supporters from Peru : Total female supporters
1 : 5

(b)

	Female supporters	Male supporters
Before	5x2 = 10%	22x2 = 44%
Change	+ 230
After	56%	44%

Number of female supporters in the end in percent
= 100% - 44%
= 56%

Total number of male supporters at first
= 10 u + 12 u
= 22 u

After another 230 female supporters from both countries joined the games, the percentage of all the male supporters became 44%.

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

22 u = 44%

1 u = 44% ÷ 22 = 2%

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

Number of female supporters from both countries who joined the games
= 56% - 10%
= 46%

46% = 230 

1% = 230 ÷ 46 = 5

Number of less male supporters from Peru than Pakistan at first
= 12 u - 10 u
= 2 u
= 2 x 2%
= 4%
= 4 x 5
= 20 

Answer(s): (a) 1 : 5; (b) 20