Israel and Brazil 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 Brazil, the ratio of the number of female supporters to the number of male supporters was 3 : 8. The total number of supporters from Israel was ⁷₂₂ the total number of supporters from Brazil.

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 64 female supporters from both countries left the games, the percentage of all the male supporters became 88%. How many more male supporters from Brazil than Israel were there at first?

Israel		Brazil
7 u		22 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	3x2	8x2
1 u	6 u	6 u	16 u

(a)
Number of female supporters from Brazil
= ³₁₁ x 22 u
= 6 u

Number of male supporters from Israel
= ⁸₁₁ x 22 u
= 16 u

Total number of female supporters
= 1 u + 6 u
= 7 u

Female supporters from Israel : Total female supporters
1 : 7

(b)

	Female supporters	Male supporters
Before	7x4 = 28%	22x4 = 88%
Change	- 64
After	12%	88%

Number of female supporters in the end in percent
= 100% - 88%
= 12%

Total number of male supporters at first
= 6 u + 16 u
= 22 u

After 64 female supporters from both countries left the games, the percentage of all the male supporters became 88%.

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

22 u = 88%

1 u = 88% ÷ 22 = 4%

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

Number of female supporters from both countries who left
= 28% - 12%
= 16%

16% = 64 

1% = 64 ÷ 16 = 4

Number of more male supporters from Brazil than Israel at first
= 16 u - 6 u
= 10 u
= 10 x 4%
= 40%
= 40 x 4
= 160 

Answer(s): (a) 1 : 7; (b) 160