Israel and Fiji took part in Youth Games. From Israel, the ratio of the number of male supporters to the number of female supporters was 2 : 9. From Fiji, the ratio of the number of male supporters to the number of female supporters was 1 : 8. The total number of supporters from Israel was ¹¹₂₇ the total number of supporters from Fiji.

1. What was the ratio of the number of male supporters from Israel to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 48 male supporters from both countries joined the games, the percentage of all the female supporters became 66%. How many less female supporters from Israel than Fiji were there at first?

Israel		Fiji
11 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
2	9	1x3	8x3
2 u	9 u	3 u	24 u

(a)
Number of male supporters from Fiji
= ¹₉ x 27 u
= 3 u

Number of female supporters from Israel
= ⁸₉ x 27 u
= 24 u

Total number of male supporters
= 2 u + 3 u
= 5 u

Male supporters from Israel : Total male supporters
2 : 5

(b)

	Male supporters	Female supporters
Before	5x2 = 10%	33x2 = 66%
Change	+ 48
After	34%	66%

Number of male supporters in the end in percent
= 100% - 66%
= 34%

Total number of female supporters at first
= 9 u + 24 u
= 33 u

After another 48 male supporters from both countries joined the games, the percentage of all the female supporters became 66%.

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

33 u = 66%

1 u = 66% ÷ 33 = 2%

Number of male supporters at first in percent
= 5 x 2%
= 10%

Number of male supporters from both countries who joined the games
= 34% - 10%
= 24%

24% = 48 

1% = 48 ÷ 24 = 2

Number of less female supporters from Israel than Fiji at first
= 24 u - 9 u
= 15 u
= 15 x 2%
= 30%
= 30 x 2
= 60 

Answer(s): (a) 2 : 5; (b) 60