Peru and Sweden took part in Youth Games. From Peru, the ratio of the number of male supporters to the number of female supporters was 1 : 6. From Sweden, the ratio of the number of male supporters to the number of female supporters was 4 : 7. The total number of supporters from Peru was ⁷₂₂ the total number of supporters from Sweden.

1. What was the ratio of the number of male supporters from Peru to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 32 male supporters from both countries left the games, the percentage of all the female supporters became 80%. How many more female supporters from Sweden than Peru were there at first?

Peru		Sweden
7 u		22 u
Male supporters	Female supporters	Male supporters	Female supporters
1	6	4x2	7x2
1 u	6 u	8 u	14 u

(a)
Number of male supporters from Sweden
= ⁴₁₁ x 22 u
= 8 u

Number of female supporters from Peru
= ⁷₁₁ x 22 u
= 14 u

Total number of male supporters
= 1 u + 8 u
= 9 u

Male supporters from Peru : Total male supporters
1 : 9

(b)

	Male supporters	Female supporters
Before	9x4 = 36%	20x4 = 80%
Change	- 32
After	20%	80%

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

Total number of female supporters at first
= 6 u + 14 u
= 20 u

After 32 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
= 9 x 4%
= 36%

Number of male supporters from both countries who left
= 36% - 20%
= 16%

16% = 32 

1% = 32 ÷ 16 = 2

Number of more female supporters from Sweden than Peru at first
= 14 u - 6 u
= 8 u
= 8 x 4%
= 32%
= 32 x 2
= 64 

Answer(s): (a) 1 : 9; (b) 64