Haiti and Pakistan took part in Youth Games. From Haiti, the ratio of the number of male supporters to the number of female supporters was 1 : 4. From Pakistan, the ratio of the number of male supporters to the number of female supporters was 1 : 6. The total number of supporters from Haiti was ⁵₂₁ the total number of supporters from Pakistan.

1. What was the ratio of the number of male supporters from Haiti to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 96 male supporters from both countries joined the games, the percentage of all the female supporters became 44%. How many less female supporters from Haiti than Pakistan were there at first?

Haiti		Pakistan
5 u		21 u
Male supporters	Female supporters	Male supporters	Female supporters
1	4	1x3	6x3
1 u	4 u	3 u	18 u

(a)
Number of male supporters from Pakistan
= ¹₇ x 21 u
= 3 u

Number of female supporters from Haiti
= ⁶₇ x 21 u
= 18 u

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

Male supporters from Haiti : Total male supporters
1 : 4

(b)

	Male supporters	Female supporters
Before	4x2 = 8%	22x2 = 44%
Change	+ 96
After	56%	44%

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

Total number of female supporters at first
= 4 u + 18 u
= 22 u

After another 96 male supporters from both countries joined the games, the percentage of all the female supporters became 44%.

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

22 u = 44%

1 u = 44% ÷ 22 = 2%

Number of male supporters at first in percent
= 4 x 2%
= 8%

Number of male supporters from both countries who joined the games
= 56% - 8%
= 48%

48% = 96 

1% = 96 ÷ 48 = 2

Number of less female supporters from Haiti than Pakistan at first
= 18 u - 4 u
= 14 u
= 14 x 2%
= 28%
= 28 x 2
= 56 

Answer(s): (a) 1 : 4; (b) 56