Maldives and Zambia took part in Youth Games. From Maldives, the ratio of the number of male supporters to the number of female supporters was 3 : 2. From Zambia, the ratio of the number of male supporters to the number of female supporters was 1 : 2. The total number of supporters from Maldives was ⁵₁₂ the total number of supporters from Zambia.

1. What was the ratio of the number of male supporters from Maldives to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 352 male supporters from both countries joined the games, the percentage of all the female supporters became 40%. How many less female supporters from Maldives than Zambia were there at first?

Maldives		Zambia
5 u		12 u
Male supporters	Female supporters	Male supporters	Female supporters
3	2	1x2	2x2
3 u	2 u	4 u	8 u

(a)
Number of male supporters from Zambia
= ¹₃ x 12 u
= 4 u

Number of female supporters from Maldives
= ²₃ x 12 u
= 8 u

Total number of male supporters
= 3 u + 4 u
= 7 u

Male supporters from Maldives : Total male supporters
3 : 7

(b)

	Male supporters	Female supporters
Before	7x4 = 28%	10x4 = 40%
Change	+ 352
After	60%	40%

Number of male supporters in the end in percent
= 100% - 40%
= 60%

Total number of female supporters at first
= 2 u + 8 u
= 10 u

After another 352 male supporters from both countries joined the games, the percentage of all the female supporters became 40%.

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

10 u = 40%

1 u = 40% ÷ 10 = 4%

Number of male supporters at first in percent
= 7 x 4%
= 28%

Number of male supporters from both countries who joined the games
= 60% - 28%
= 32%

32% = 352 

1% = 352 ÷ 32 = 11

Number of less female supporters from Maldives than Zambia at first
= 8 u - 2 u
= 6 u
= 6 x 4%
= 24%
= 24 x 11
= 264 

Answer(s): (a) 3 : 7; (b) 264