Sweden and Zambia took part in Youth Games. From Sweden, the ratio of the number of male supporters to the number of female supporters was 2 : 3. 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 Sweden was ⁵₉ the total number of supporters from Zambia.

1. What was the ratio of the number of male supporters from Sweden to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 792 male supporters from both countries joined the games, the percentage of all the female supporters became 18%. How many less female supporters from Sweden than Zambia were there at first?

Sweden		Zambia
5 u		9 u
Male supporters	Female supporters	Male supporters	Female supporters
2	3	1x3	2x3
2 u	3 u	3 u	6 u

(a)
Number of male supporters from Zambia
= ¹₃ x 9 u
= 3 u

Number of female supporters from Sweden
= ²₃ x 9 u
= 6 u

Total number of male supporters
= 2 u + 3 u
= 5 u

Male supporters from Sweden : Total male supporters
2 : 5

(b)

	Male supporters	Female supporters
Before	5x2 = 10%	9x2 = 18%
Change	+ 792
After	82%	18%

Number of male supporters in the end in percent
= 100% - 18%
= 82%

Total number of female supporters at first
= 3 u + 6 u
= 9 u

After another 792 male supporters from both countries joined the games, the percentage of all the female supporters became 18%.

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

9 u = 18%

1 u = 18% ÷ 9 = 2%

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

Number of male supporters from both countries who joined the games
= 82% - 10%
= 72%

72% = 792 

1% = 792 ÷ 72 = 11

Number of less female supporters from Sweden than Zambia at first
= 6 u - 3 u
= 3 u
= 3 x 2%
= 6%
= 6 x 11
= 66 

Answer(s): (a) 2 : 5; (b) 66