Sweden and Greece took part in Youth Games. From Sweden, the ratio of the number of male supporters to the number of female supporters was 3 : 8. From Greece, the ratio of the number of male supporters to the number of female supporters was 1 : 3. The total number of supporters from Sweden was ¹¹₁₆ the total number of supporters from Greece.

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 16 male supporters from both countries left the games, the percentage of all the female supporters became 80%. How many more female supporters from Greece than Sweden were there at first?

Sweden		Greece
11 u		16 u
Male supporters	Female supporters	Male supporters	Female supporters
3	8	1x2	3x2
3 u	8 u	4 u	12 u

(a)
Number of male supporters from Greece
= ¹₄ x 16 u
= 4 u

Number of female supporters from Sweden
= ³₄ x 16 u
= 12 u

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

Male supporters from Sweden : Total male supporters
3 : 7

(b)

	Male supporters	Female supporters
Before	7x4 = 28%	20x4 = 80%
Change	- 16
After	20%	80%

Number of male supporters in the end in percent
= 100% - 80%
= 20%

Total number of female supporters at first
= 8 u + 12 u
= 20 u

After 16 male supporters from both countries left the games, the percentage of all the female supporters became 80%.

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

20 u = 80%

1 u = 80% ÷ 20 = 4%

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

Number of male supporters from both countries who left
= 28% - 20%
= 8%

8% = 16 

1% = 16 ÷ 8 = 2

Number of more female supporters from Greece than Sweden at first
= 12 u - 8 u
= 4 u
= 4 x 4%
= 16%
= 16 x 2
= 32 

Answer(s): (a) 3 : 7; (b) 32