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

1. What was the ratio of the number of female supporters from Israel to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 112 female supporters from both countries left the games, the percentage of all the male supporters became 80%. How many more male supporters from Russia than Israel were there at first?

Israel		Russia
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 Russia
= ⁴₁₁ x 22 u
= 8 u

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

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

Female supporters from Israel : Total female supporters
1 : 9

(b)

	Female supporters	Male supporters
Before	9x4 = 36%	20x4 = 80%
Change	- 112
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 112 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% = 112 

1% = 112 ÷ 16 = 7

Number of more male supporters from Russia than Israel at first
= 14 u - 6 u
= 8 u
= 8 x 4%
= 32%
= 32 x 7
= 224 

Answer(s): (a) 1 : 9; (b) 224