Malta and Haiti took part in Youth Games. From Malta, the ratio of the number of male supporters to the number of female supporters was 1 : 4. From Haiti, the ratio of the number of male supporters to the number of female supporters was 1 : 10. The total number of supporters from Malta was ⁵₂₂ the total number of supporters from Haiti.

1. What was the ratio of the number of male supporters from Malta to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 184 male supporters from both countries joined the games, the percentage of all the female supporters became 48%. How many less female supporters from Malta than Haiti were there at first?

Malta		Haiti
5 u		22 u
Male supporters	Female supporters	Male supporters	Female supporters
1	4	1x2	10x2
1 u	4 u	2 u	20 u

(a)
Number of male supporters from Haiti
= ¹₁₁ x 22 u
= 2 u

Number of female supporters from Malta
= ¹⁰₁₁ x 22 u
= 20 u

Total number of male supporters
= 1 u + 2 u
= 3 u

Male supporters from Malta : Total male supporters
1 : 3

(b)

	Male supporters	Female supporters
Before	3x2 = 6%	24x2 = 48%
Change	+ 184
After	52%	48%

Number of male supporters in the end in percent
= 100% - 48%
= 52%

Total number of female supporters at first
= 4 u + 20 u
= 24 u

After another 184 male supporters from both countries joined the games, the percentage of all the female supporters became 48%.

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

24 u = 48%

1 u = 48% ÷ 24 = 2%

Number of male supporters at first in percent
= 3 x 2%
= 6%

Number of male supporters from both countries who joined the games
= 52% - 6%
= 46%

46% = 184 

1% = 184 ÷ 46 = 4

Number of less female supporters from Malta than Haiti at first
= 20 u - 4 u
= 16 u
= 16 x 2%
= 32%
= 32 x 4
= 128 

Answer(s): (a) 1 : 3; (b) 128