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

1. What was the ratio of the number of female supporters from Spain to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 64 female supporters from both countries left the games, the percentage of all the male supporters became 80%. How many more male supporters from France than Spain were there at first?

Spain		France
7 u		22 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	4x2	7x2
1 u	6 u	8 u	14 u

(a)
Number of female supporters from France
= ⁴₁₁ x 22 u
= 8 u

Number of male supporters from Spain
= ⁷₁₁ x 22 u
= 14 u

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

Female supporters from Spain : Total female supporters
1 : 9

(b)

	Female supporters	Male supporters
Before	9x4 = 36%	20x4 = 80%
Change	- 64
After	20%	80%

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

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

After 64 female supporters from both countries left the games, the percentage of all the male supporters became 80%.

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

20 u = 80%

1 u = 80% ÷ 20 = 4%

Number of female supporters at first in percent
= 9 x 4%
= 36%

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

16% = 64 

1% = 64 ÷ 16 = 4

Number of more male supporters from France than Spain at first
= 14 u - 6 u
= 8 u
= 8 x 4%
= 32%
= 32 x 4
= 128 

Answer(s): (a) 1 : 9; (b) 128