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

1. What was the ratio of the number of male supporters from Oman to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 160 male supporters from both countries left the games, the percentage of all the female supporters became 80%. How many more female supporters from Israel than Oman were there at first?

Oman		Israel
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 Israel
= ⁴₁₁ x 22 u
= 8 u

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

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

Male supporters from Oman : Total male supporters
1 : 9

(b)

	Male supporters	Female supporters
Before	9x4 = 36%	20x4 = 80%
Change	- 160
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 160 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% = 160 

1% = 160 ÷ 16 = 10

Number of more female supporters from Israel than Oman at first
= 14 u - 6 u
= 8 u
= 8 x 4%
= 32%
= 32 x 10
= 320 

Answer(s): (a) 1 : 9; (b) 320